For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form g(h(x)). Use non-identity functions for g(h) and h(x).) f(x) f(x) 75e0.7x } g(h), h(x)) = {g(h(x)) f'(x)

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

A: Since the placement of the radical sign is not clear whether it includes x or no, the question has…

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: Use the following definition of derivative as a function f\x+h}-f(x) f\x)=lim h h --0 To find the…

A: A function is: a relation from a set of inputs to a set of possible outputs where each input is…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3…

A:

Q: Find the derivative of f(x) at the designated value of x (Using Derivative Rules). 3 11. f(x) = x*,…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: Find the derivative of f (x) = x at x = -4 algebraically. f' (-4) =

A: f(x)=x3 Find f'(-4)

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

A:

Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: Using the definition of derivative, find the derivative of f(x)= /3-x

A:

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

Q: Find the derivative of f(x)=x tan x- cSc x.

A:

Q: By using the first principle, find the derivative of the following functions. 1.  f (x) = x^2 - x

A:

Q: Consider the function as folows:-   r(x) = 2x - 5 /(3x + 1)2 In general, how do you find the…

A: Given function: rx=2x-53x+12 We can write the function as rx=2x-53x+1-2 Differentiate the above…

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

A:

Q: Find the derivative of the function by the limit process. g(x) = -398 g'(x)=

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = x4 f'(x) = %3D

A: To find the derivative of the given function using the definition of derivative.

Q: Find the derivative of the function g(x)=x3∫x2tdt.

A:

Q: Find the derivative of the function.

A:

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

A:

Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x +x…

A:

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Using the limit definition of derivative, find the derivative of the function f (x) = 3x + 5.

A:

Q: Find f′(x) from f(x)=2x^3−x^2−x+2 using the definition of a derivative. (Do not include "f′(x)=" in…

A: we have to find f'(x) using limit definition of derivative

Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

A:

Q: derivative of y with respect to x. Use the given relation in its implicit form. (x - y)2 = 2ax.

A: We will find the derivative.

Q: f(x) = x' tan (5x)

A: Explanation and solutions is given below....

Q: Given f(x) = ||+x, at which point does the derivative not exist? Mathematically show that the…

A: According to question given that f(x)=|x|+x"A function f is said to be differentiable at a if  f'(a)…

Q: 5. By the General Power Rule, find the derivative of y with respect to x for the function y = (4x5 +…

A: Given that, y=4x5+x4-x33

Q: Find the derivztive of the function

A: Topic :- derivative

Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: . Use derivative rules to find the derivative of h(x) = 3f(x) – 2g(x) – x² f (x) +. Show steps g(x)

A: See attached file for a step by step explanation.

Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).

Q: The function g has first derivative given by g'(x) What is 1+x + x3 the x-coordinate of the…

A:

Q: 5+x f(x) = 3—х

A: Solve the following

Q: Find the derivative of the following function by definition (from first principle): f(X)=1-x/2x

A:

Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

A:

Q: flx)= -e, 1-x2 1-e

A: To find The derivative of f(x).

Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx