Find the derivative of the given functions using chain rule.

Q: Apply the sum and difference rules to combine derivatives Question Let h(x) = f(x) + g(x). If f(x) =…

A: Given:

Q: Exercise 4 Find the derivative of the following with respect to x. Use either chain rule or general…

A: As per bartleby guidelines we only give first three questions answers.

Q: Version 2 of the Chain Rule Use Version 2 of the Chain Rule to calcu-late the derivatives of the…

A: We have to find derivatives of the given functions. a. 6x3+3x+110 Then,…

Q: 1. An investor invests is a start-up company. The profit in dollars for æ thousand dollars invested…

A:

Q: Find the derivative of f(x): z²+2 . Enclose numerators and denominators in parentheses. For example,…

A: Finding f'(x)

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: -가 Question-2 a) Find the derivative of f(x) = 2x? –- at x = 3 using definition of derivative at a…

A: As per our guideline we are supposed to be answer only one question

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)…

A: (1) We have to determine the correct formula for finding the derivative of the product of two…

Q: Using Leibniz find the third derivative of the following function y = e2a Inx

A: The Leibniz formula expresses the derivative on nth order of the product of two functions. Suppose…

Q: 8. (Standard C5: Chain rule) Compute the derivative of h(x) = tan(vT). Show all of your work. You do…

A:

Q: Instructions: Determine the derivative of the ff. functions 1. y = 6x4 + 7x³ - 8x² + 9x - 10 2. y =…

A: According to guidelines we can solve only first 3 subpart. Please resubmit the others. Thank you.

Q: EXAMPLE 1 Relating Derivatives The function y = 6x – 10 = 2(3x – 5) is the composite of the…

A: Given: y =  6x -10 u = 3x - 5

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? |(fg)'…

A: We have to use chain rule of differentiation.

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

A: Derivative at point is the measure of slope of tangent to the function at that point. And slope of…

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: Compute the derivative function  f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 9x2 + x…

A:

Q: 1) Consider the function, e2x + e-2x f(x) : e2x - e-2x a. Find the value of x that f is undefined.…

A:

Q: 1. Using techniques in calculus, solve for the exact or true value of the derivative of the function…

A:

Q: Find the derivative of the function. HINT [First expand the given function.] s(x) = x(x2-2/x)

A: Given sx=xx2-2x

Q: . Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.)…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: . Version 2 of the Chain Rule Use Version 2 of the Chain Ruleto calculate the derivatives of the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)? 2. у %3D х?(х — 1) (2х — 5)2

A:

Q: 6/5 (3 - x). x5/6 The derivative of the function y = In is y' = %3D

A: we have to find derivative

Q: 10-37 Find the derivative of the function. 1 10. f(x) = Vx2 – 1 -

A: As per our guidelines we are supposed to do only 1 question at a time. Please ask other questions as…

Q: 3. 3. A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A:

Q: 7-46 Find the derivative of the function. 28. f(z) = e=/(z-1)

A: The objective is to find the derivative of the function f(z).

Q: 21-31 Find the derivative of the function using the definition of derivative. State the domain of…

A: The domain of the function f is, dom(f) = R, which is the set of all real numbers. And, the domain…

Q: Use the definition to calculate the derivative of the following function then find the values of the…

A:

Q: 45-56. Repeated use of the Chain Rule Calculate the derivative of the following functions.

A:

Q: Higher-order derivatives Find y(100) of y = 2x100- 3cosx + 4ex

A:

Q: a)  Find the equation of the line tangent to the function ? (?) = 2x^2 + 2x − 4 at the point (−3,5)

A: Find the equation of the line tangent  function f (x) = 2x^2 + 2x − 4 Tangent at the point (−3,5)…

Q: a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b)…

A:

Q: I need help with g. and h.   NOT THE REST OF THEM.

A: Given functions are

Q: 2² – 6 Calculate the derivative function of g(x) Write your result as a single fraction. %3D 5а + 1…

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)…

A:

Q: Apply the sum and difference rules to combine derivatives Question Let h(x) = f(x) + g(x). If f(x) =…

A: Consider the provided information about function,

Q: Can you help me step by step?

A: Find the derivative of the function

Q: -5 4 -3 -2 -1 /2 3 4 $ -2 -3 -4 -5 The function graphed above has: Positive derivative on the…

A:

Q: A differentiable function has the value y(-3) = 2 and the derivative value y'(-3) = 1. Approximate…

A:

Q: A student wanted to take the derivative of e“, using the chain rule. They thought that: • the inner…

A: We have to find the derivative of the function and spot the error the student made.

Q: Apply the sum and difference rules to combine derivatives Question Let h(x) = f(x) +g(x). If f(x) =…

A: We have given the functions

Q: A 1. Determine algebraically the values of x for which the derivative equals zero. a) f'(x)= 21 + 7x

A: To find the value of of x where derivative equal to zero, we first make the derivative equal to zero…

Q: Page > of 2 1. Find the derivative of function z. Assume A and B are constants. + Bey

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 30-45 Find the derivative. Simplify where possible.

A:

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

A: The given function is,

Q: find the derivative of the following using chain rule I need the solution since I got the answer…

A:

Q: x2 - 6 Calculate the derivative function of g(x) Write your result as a single fraction. 2x + 1 =…

A: Given: g(x)=x2-62x+1

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A:

Q: Example 3.25 f (1,2) = 3 and the derivative of the function f at the point (1,2) in the i + j…

A: We have the function f(x,y) Now, the formula for derivative (more precisely directional derivative)…