tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that makes the function derivative.

Q: Derivative of In |x| Differentiate In x, for x > 0, and differentiate In(-x), for x < 0, to conclude…

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Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: Differentiate the functions. Find the derivative of y with respect to x. Use the given relation…

A: Given : Function y = x3 + 12   To find : Derivative of the given function dydx?

Q: Find the Equation of tangent line of the function f(x)=1+csc(x)-√cos(x) at the point…

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Q: 2. Find the third order derivative of y = In(secx + tan x). a. secx b. secx tan x c. - sec(x) + 2…

A: Explanation of the answer is as follows

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: Find the derivative of the function. y = sec 2  x  +tan 2 x

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Q: find the derivative of the transcendental function y=e^x-cotx

A: Given,             y=ex-cotx

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the first derivative of: y=〖sec〗^4 x-〖tan〗^4 x y=xArcsinx + √(1-x^2 )

A: We have to find the derivative of the given function.

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: AJ Find the derivative of the function: In(tan(sinx) + secx). A If v = eu 1Infs

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Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: derivative of arctan(1/x)

A: Solution:- we have to find the derivative of  y=arctan1x=tan-11x

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

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Q: Find the derivative of y with respect to x. y= 3x^3 sin^-1 x show all work

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Q: The implicit curve given by the equation x + xy + y= 1 has derivative dy 2x+ y %3D dx x + 2y Show…

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Q: Calculate the derivative of f(x) = x^(1/ln(x)). What can be said about f(x) based on its derivative…

A: Consider the function,

Q: equation of tangent line of f(x)=5x^3+1 at x=1 is * O y=15(x-1) O y=15 x-9

A: Given: The function f(x)=5x3+1 and a point x=1

Q: What is the derivative of f(x)=−cos(x)+4sin(x) at the point x=−π/2?

A: We will find the derivative as following.

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) %3D f (x) =

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Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: Determine the Derivative of the Function: 1. y = ex - 1/ex + 1 2. y = x22x 3. y = 43x^2 4. f(x)…

A: Find derivatives

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: dx as a function of x if dt Find dt2 x sin x. dt?

A: We will solve the following

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: How do you use Implicit differentiation find x^2+2xy−y^2+x=2 and to find an equation of the tangent…

A: The given equation is, x2+2xy-y2+x=2. Differentiate the given function with respect to x.…

Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

Q: f(x)= sinx/cos x+1

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Q: Calculate the derivative of the function y=arccos x arctan x at x=0.

A: Differentiating with respect to x, we get

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: tanh'stanx) that derivative af this 1-

A: Answer

Q: Find the derivative of the function. show all work y=(x-10)(x^2+2x) all over x^3

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Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: Differentiate the functions showing the general process in determining the derivatives. Using the…

A: We need to differentiate given function.

Q: Find the derivative car (x+y) = yrinx

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Q: Find the critical numbers of the function and apply the First Derivative Test to identify all…

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Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

Q: Find the derivative of the transcendental function. y = ex - cot x y' =

A: derivative of ex = ex dderivative of cot(x) = - cosec2(x)