a) Determine the derivative, y (x) for the composite function below. g(x) ]V y(x) =

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: we have to find the derivative of y by using logarithm.

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

A:

Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: Find the derivative of the function.

A: We are given with the function g(x) and need to find the derivatives

Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

A:

Q: 3. Find the derivative of g(z) = V9- using the definition of derivative.

A:

Q: Find the first derivative of y with respect to x for the following :functions b- y = In( 3x .e-*)

A:

Q: - 3x Find the derivative of y with respect to x if y = e

A:

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Find Find the second derivative of the given function. y = In(x² – 1)

A:

Q: Find the derivative of the function. y = cos(a4 + x4) y'(x) =

A: The given function is y = cos(a4 + x4)

Q: a) Find an equation of the tangent line to the curve. y=f(x)3x2-4x at x = 2. b) Find the derivative…

A:

Q: Find the derivative of the inverse trig functions. a) y = cos-1 5x b) y = x· arctan x

A: We can solve both the question as below.

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: Compute the derivative of the function y=x2/ln x at x=e.

A:

Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

A:

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

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Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

A:

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: Consider the derivative function h (x) = -sec? (x) + 9. What is the general antiderivative of h?

A:

Q: Find the derivative of y with respect to x. y= csc^-1 (x^2+1) , x>0

A: Given ,

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

A:

Q: The derivative of In x is and the derivative of a constant C is, sO X dx = In |x| +C for x> 0.

A: Given x>0, The differentation of natural log x is 1/x  And differentation of constant are zero.

Q: Shows the derivative function of: u³ + 2u, where u = x² + 3

A: Let's find.

Q: Q1:- Find the first order derivative of each of Inx a) y = e*secx + CsCx

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Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (t3/2) + √t

A:

Q: y = In (*+1) °(x+1), (x+2)3

A:

Q: 2. Find the derivative of the function. y = e* In (sinæ)

A:

Q: f(x) = e*

A:

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

A: Given

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given, f(x)=sin(2x)+17

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: y= 4x2-2x - 3

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Find the derivative of the function. y = a 3 + cos 3 x)

A: Given: y=a3+cos3x

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

A:

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A:

Q: y=x4Inx

A: Topic = Derivative