; Compute the derivative of the function: f (x) = (+ Inx)² а.

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

A:

Q: Compute the derivative of the following function. f(x) = 3x + 5x ex f'(x) = [ O

A:

Q: What is the derivative of the function f(x) = e-2x?

A:

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: Find the derivative of the function.

A: Consider the provided function, ht=t2t3+22 Find the derivative of the function. Apply the chain rule…

Q: Find the derivative of h(2) – (, ° ) Assume that a and b are constants.

A:

Q: please show ALL your steps

A: we are given a function

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

A:

Q: Compute the derivative of the following function. f(x) = 3x + 7x eX f'(x) =D

A: f(x)=3x+7xexfI(x)=?

Q: 2. Calculate the derivative by first principles for the following: i. f(x)=Vx,

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find the second order derivative of ycos³(2x).

A:

Q: Compute the derivative of the following function. 1(x) = 3e 3x f'X)%3D

A: Topic - differentiation

Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivative of the following function. f(x) = eax+bx+1,

A:

Q: Find the derivative of function.

A: Given, y=3x2lnx derivative of function dydx dydx=lnx.d(3x2)-3x2d(lnx)lnx2…

Q: Evaluate the derivative at x = 1 for y = I (

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Find the derivative of the function. r(x) = In(x + 1) + 5x7ex r'(x) =

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

A:

Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Find the derivative of the function. F(x) = In(4 – x®) %3D f'(x) %D

A:

Q: Find the derivative of the function. y = e In(7x)

A:

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

A: Since the expression contains x, we have to find derivative with respect to x.

Q: Compute the derivative of the following function: f(x) = –6e3x +3

A:

Q: Ax) = Vã Vx = /x хх e

A:

Q: f(x) = e*

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the derivative of the following: 1. y=x(VT- x³)

A:

Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: 2x f{X) = 1+ X

A: Given: f(x)=2x1+x

Q: Find the nth order derivative of the power function y=xm where m is a real number.

A:

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: Find the derivative of f (a) = e" (x² + 2).

A:

Q: Find the derivative of the function y = x2x+1

A: We have to find derivative of the function: y=x2x+1  In this situation we use logarithmic property…

Q: Find the derivative of the function. y = x*V25 - x²

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Find the nth order derivative of the function y=xlnx.

A:

Q: Find the derivative of the following function. ° 4x y = In x y' =O %3D

A:

Q: find the derivative of the given function y^4=4xy using implicit differentation

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) =…

A: The alternate form refers here the definition of derivative.

Q: Find the first derivative of v with respect to x

A: Given,

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: