1 :) 100 is equal to The derivative of the function esin x

Q: With respect to x, what is the derivative of: * du In(u) O Option 2 Option 4 du Option1 Option3

A: apply chain rule

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

A:

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: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

A:

Q: Give the derivative formula for the function. j(x) 4 In x e5 = j(x)

A: The function is given by,

Q: Which of the following is the derivative of * f (x) = In(tanhæ)?

A: Given function is : fx=lntanhx To find the derivative of fx tanhx is written astanhx=ex-e-xex+e-x

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points,…

A:

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

A:

Q: If g(x) is the input to f(x), then the derivative of f(x) is ')(x) Select one: O True O False

A:

Q: 1. Find the derivative of the following function: f(x) : (x² sin- if x ± 0 if x = 0

A:

Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

A:

Q: Compute the derivative of the following: 3 +. 2.1x 5 g(x) =, 4.

A:

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

A:

Q: 1. Compute the derivative of the following function: F(x) = Jsin x

A: The function is  F(x)=∫sin xext2dt

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

A: Topic - differentiation

Q: 103. If fix) = r, n2 1, show from the definition of the derivative that f'(0) = 0.

A: The given function is fx=xn,  n>1. Compute the derivative at 0 as follows.

Q: Give the derivative formula for the function. j(x) = 4 In x – e67 j'(x)=

A: To give the formula of the given function.

Q: In 5 x+1 Find the derivative of y = logs ((*)) with respect to x-1 independent variable x.

A:

Q: Find the derivative of the following function. f(x) = In csch 16x

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)…

A: Given that:y=ln1-xx+35To find derivative

Q: 1. Suppose that the revenue (in dollars) from the sale of x units of a certain product is given by…

A: The revenue function is given by Rx = 70x-0.05x2 To evaluate: The expression of R'(x) using the…

Q: Suppose that a function f(x) has derivative f' (x) = g(x)+ h(x) for some functions g(x) and h(x).…

A:

Q: Find the derivative of function defined as follows. h(x) = (x2 - 1)3

A:

Q: In the given question as follows, find the derivative of the function.   y = e2x tan 2x

A: We have to find the derivative of the following function -  y = e2x tan 2x

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

A:

Q: Find the derivative of y with respect to x in the following functions: y= Ju +2u and u x2-3

A:

Q: Which of the following is the derivative of g(x) =x'Inx?

A:

Q: Suppose h(x): . What is the correct result of the derivative of h with respect to x? 3x · In (5)…

A:

Q: Suppose h (x) =() . What is the correct result of the derivative of h with respect to x? ". In (5) A…

A: Derivative using chain rule of differentiation.

Q: If g(3) = −2 and g'(3) = 15, the compute the derivative of g−1(x) at x = −2

A:

Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

A:

Q: Which of the following is not a notation for the derivative of y in terms of X.

A: Derivative is a function which measures the slope. And we find by differentiating a function of the…

Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

A:

Q: (-- If y = then the derivative of y with respect to r is:

A: y=x-1x-1To find dydx

Q: (x²–1) f(x) = (In x)

A: Derivative of f(x) is given by

Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

A:

Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: Suppose the derivative of f exists, and assume that f(2) = 1, and f'(2) = 2. Let g(x) = x2f(x), and…

A: Apply the product rule to find the derivative of g(x) and then substitute the given values as…

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

A:

Q: Find the derivative of ?, implicitly of  BY SHOWING ALL STEPS When N=11 and M=3

A: Given that lnMxy-tanNx+My=e-M-MyN And N=11 and M=3

Q: If g(z) = 6-2), then its derivative is given by:

A: Consider the following formula: ddxax=lna·ax Consider the following function: gx=6x2-2

Q: Prove, by Showing all steps i that the 1. derivative of arcos x is 1-メ

A: Derivative of arccosx is -1/√(1-x2)

Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: The derivative of Q with respect to r for: Q=In (r+1)' is: 2)

A:

Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

A:

Q: Зх +1 a) y =- 1 b) g(x)= Jx -

A:

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

A: