2x f{X) = 1+ X

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

A:

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: 2. Find the derivative of a function at a certain number using the formula. f(x) – f(xo) f'(x) = lim…

A:

Q: Find the derivative of the following function. y = (In |x+4|)7

A: given that  by using chain rule

Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

A:

Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

A:

Q: find the derivative of the following functions

A: Consider the function  g(x)=6x−2xex

Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

A:

Q: f(x +h) – f(x) lim h f(x) = 3x2 – 10x + 6 1.

A: Given  The function are  1) fx=3x2-10x+6 5) fx=8x    Formula :- f'(x)=limh→0fx+h-fxh .

Q: Find derivative of the following function. 7x -7x + e y = X

A:

Q: In the given question/s , find the derivative of the function.   f (x) = ln 2x /x + 3

A:

Q: Find derivatives of the functions defined as follows:

A: Given: fx=ex3x+2

Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: Find the derivative of the function g(x)=(3x^2−4x+3)e^x g'(x)=

A:

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

A:

Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Find the derivative of the following function with respect to x. h (x) =√(5x + 8) 3√(1-9COS(4X))/…

A: hx=5x+81-9cos4x3x2+10x4

Q: In the given question , use the alternative form of the derivative to find the derivative at x = c,…

A: To find derivative: f(x)=x-6,c=6. Solution: By definition:…

Q: Find the derivative of the following function. 3 8x y = In x y'=0

A:

Q: find the derivative of the following: f(x) = e^x (2x^2-x+3)

A:

Q: Find the derivative. f(x) = e. 3x

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Q: g. f(x)=(1–3x)°(x²-2)°

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

A:

Q: Find the derivative of the function. h(x) = (x12 - 1) ª %3D h'(x) =D

A:

Q: In the given question , use the alternative form of the derivative to find the derivative at x = c,…

A: g(x) = x2- x, c = 1

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the derivative of the following function using the formula. f(x + h) – f(x) lim h-0 h f(x) =…

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of the function. g(x) = (1 + 4x)8(3 + x – x²)º g'(x) = %D

A:

Q: Find the derivative with respect to x if f(x) = e 2x %3D The derivative with respect to x if f(x) =…

A:

Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: Find the derivative with respect to x of each of the following: 5. f(x) = (2x + 1)e-*-1 xe" +2y²ln x…

A:

Q: Find the derivative of the following function, 1 f(x) = e* + In(x). x² -

A:

Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

A:

Q: Find the derivative of the following function. f(x) = 4x -34x+ e 4 %3D

A: We will use some set of formulas of differentiation : ddxxn = n xn-1ddx constant = 0

Q: Solve for the derivative of the given functions using the Chain Rule formula. Let f(x) = √(x2 + 3x +…

A: (a) fx=x2+3x+1 Inner function : u=x2+3x+1. Outer function : y=u.

Q: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTIONS. g(x)=xnx

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Q: Find the derivative of the following functions at a given point x= a (g) f(x)=- a=4.

A:

Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

A:

Q: Find the derivative respect to x of the following function and simplify f(x) = (x - 5)2 ln(4x+1)

A:

Q: x +2 f(x)= x - 3

A:

Q: Find the derivative of the following function. f(x) = ..... 3x e dx -X +2

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Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

A:

Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

A:

Q: 2. f(x) = 2x – 5x%

A:

Q: Find the derivatives of following functions e2x f(x) 1- ex

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…