Match each function to the rule you would need to use to compute its derivative. Answers may be used more than once, and some answers may not be used at all. v fx) = In(x²-5) A. Chain Rule B. Quotient Rule - v y= (x -5)e* C. Product Rule g(x)=51득x+3x4 -vy=8e3x

Q: find the derivative using the appropriate rule or combination of rules. y = 4e−x + 7e−2x

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Q: Find the derivative of the function.

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Q: Find derivatives of the functions defined as follows: y = -3e3x2+5

A: Given:y=-3e3x2+5

Q: Find the derivative of the function g(x) = sech2 3x

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Q: と FCx) = 1oga x-1 %3D

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Q: Find the derivative of h(x)=(3x+4)3/  (−3x−2) 4 You should leave your answer in factored form. Do…

A: The given function is h(x) = (3x+4)3/(−3x − 2)4. Rewrite the given function as h(x) = (3x+4)3/(3x +…

Q: Find the derivative of function defined as follows.

A: The given function is, y=8x+6x34 To find the derivative of the given function, we use the power rule…

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

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Q: Find the derivative of function defined as follows.

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Q: find the derivative using the appropriate rule or combination of rules. y = e(x2+2x+3)2

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Q: Find the derivative of h(x)=(−2x−5)6 /(2x−3)3   You should leave your answer in factored form. Do…

A: Calculation:The given function is h(x) = (-2x-5)6 / (2x-3)3.Obtain the derivative of the function…

Q: Find the derivative of * y=(2x +1)*(3x +1) 3х +

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Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: Find the derivative of y = x2-1/2cosx

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Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

Q: -a ; Y 5.)(*+y)² +(x-y)

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Q: Find the derivative of function defined as follows.

A: Given the function: y=-100x-11x23

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Use the first principles of derivatives to find the derivative of y=5x-1

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Q: Find the derivative of h(x)=(−2x+4)7/(3x−5)5   You should leave your answer in factored form. Do not…

A: The first derivative of the function h(x) = (−2x+4)7/(3x−5)5 is calculated as follows.

Q: find the derivative using the appropriate rule or combination of rules. y = (2e3x + 3e−2x )4

A: Given expression

Q: Find the derivative of function defined as follows. y = 6x2 - 10x - 3x-2

A: For a function f its derivative is denoted by f'(x). The definition of f'(x) is limh→0f(x+h)-f(x)h.…

Q: Find the derivative of function defined as follows. y = 5x-5 - 6x-2 + 13x-1

A: Given function is: y=5x-5-6x-2+13x-1 We have to find dydx. We will use the following formula for…

Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Find the derivative of y=(6x^(1/3) - 2x^(1/7))^5, when x=5.

A: Solution

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Find the derivative of the function. 4х - 9 y = 6x + 1

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Q: Find the derivative of function defined as follows. y = (x3 + 2)(x2 - 1)4

A: Given: The function y=x3+2x2-14, To determine: The derivative of the given function.

Q: Find the derivative at the point x=2 for the function given by the equation x2+y2+2x−xy+5y−2=0.

A: Given equation is  X2 + y2 + 2x -xy + 5y -2 =0 We have to find out the derivative of function at x=…

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: Find the derivative of the function. y=4xe^4x +4e^x^4

A: Given that y = 4xe4x + 4e x^4. Find derivative of this (dy/dx).

Q: *show work*

A: Given:

Q: Find the derivative of h(x)=1/(−3x^2+3x−2)^3. may leave answer in factored form.

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Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find the derivative of the function y=(4x+1)^5(3x+1)^-4

A: We can find the derivative as below.

Q: Find the derivative of the function. y = x2V 49 - x2 y' =

A: Soove for differentiate

Q: Write the equation of the tangent to the graph of xy^3+xy=16, at the point (8,1).  Write all of…

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Q: Find the derivative of the function of: a) y=sec33x b) y=csc2(2x2)

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Q: find the derivative of  y = x^2 - 4/x^2

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Q: Find the derivative of the function below: y = In(x7 + 5)

A: Given,           y=9xlnx7+5

Q: Find the derivative of y = x²( - %3D x2+1

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Q: Find the derivative of the function y = sech 5x2

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Q: Find the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: Find the derivative of the function y=4√x3.

A: Given expression:y=4x3 Simplify the above expression, y=4x312y=4x32 Now, differentiate the above…

Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…