Let g(x) be the function with the properties g'(x) = - 2, g(1) = 3. x2 Find the value of g(4). Enter an integer or a fully reduced fraction such as - 6, 23, -3/4 , 7/16 , etc

Q: Find f-1 if f (z) = iz + 1.

A:

Q: Find the derivative of the function by the limit process. f(x)= 2/x2

A:

Q: Find the derivative by the limit process. f(x) = 7 − x2

A:

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: Let g be a function that is defined for all x, x # 2, such that g(3) = 4 and the derivative of g is…

A: Critical points of the function are the point either the derivative is not defined or derivative is…

Q: Find the critical numbers of the function. (Enter your answe g(x) = x² In(x) %3D X =

A: We find g'(x) using the product rule. g(x)=x2ln(x)g'(x)=2xln(x)+x21xg'(x)=2xln(x)+x

Q: Find the derivative of the function by the limit process.

A: Given: fx=x2+x-3 To Find: The derivative of the given function by the limit process

Q: the derivative of the function by the limit process. f(x) = x²+x-3

A: Topic:- limits and calculus

Q: The derivative of the function f(x) = 25 x3 -6 x2 +7x- 88 at X = 3 using a step size of 0.5 and…

A: on solving we get

Q: Suppose that the FIRST DERIVATIVE of a function f is given by f' (x) = (x – 3)² (z² + 5x). Find the…

A: We find the critical numbers by solving f'(x)=0

Q: Give an example of a function f (x) that has one  positive derivatives on the range (−1, 0) and a…

A:

Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

A:

Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

A:

Q: 1. Find the maximum and the minimum values of the function f(x)= 2x – tanx %3D in the interval 3' 3

A: Given: f(x)=2x-tanx Differentiate the function with respect to x. f'(x)=ddx(2x-tanx)=2-sec2x…

Q: Find the derivative of the function by the limit process. f(x) = 6/x^2

A:

Q: (9-x) ₁/x = (x

A:

Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 8

A:

Q: 1.f(0) = (금x* + 3)" %3D

A:

Q: find the critical points of f (x) and use the Second Derivative Test (if possible) to determine…

A: Here we will apply first derivative and equate it to 0 to get the critical points and then apply…

Q: Find the positive critical point of the function f(x) =

A: For critical points set first derivative of function is equal to zero and solve for x . f ' ( x ) =…

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

A:

Q: 5. Use the limit definition of the derivative to find the derivative of f(x) = 3x-2. f(x+h) - f(x)…

A: f'(x)=limh→0 f(x+h)-f(x)h

Q: 3) Find the derivative of the function f(x)= x² –x+2 using the definition of the derivative (a…

A: Given:     To determine: Derivative of the function using the definition of the derivative.

Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: A function f has derivative f′(x)=x^3(x−1)^2(x+1)(x−2). At what numbers x, if any, does f have a…

A:

Q: Find the derivative of the function by the limit process. f(x) = x3 − 12x

A:

Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

A:

Q: 15. For this function find the coordinates of points on the graph that are local maximums or…

A: Local maxima and minima

Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

A:

Q: Find the derivative of the function by the limit process. 7 f(x): x - 9

A: Given,          The function is fx=7x-9.

Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 3

A:

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: Find the derivative of the function by the limit process. f(x) = 7x – 6 %3D

A: The derivative is calculated using the limit process as follows. f'x=limh→0fx+h-fxh Now, fx+h=7x+h-6

Q: Let f(x) be a function with second derivative of f"(x) = -(5x +11)?(x – 2) Determine the local…

A: When a function's at critical point x , and the second derivative at x is: less than 0, it is a…

Q: Calculate the first derivatives of ƒ(x) = x2/(x2 + 1) and g(x) = -1/(x2 + 1). What can you conclude…

A:

Q: k(x) = x In x %3D

A:

Q: Find the relative extremum of g(x) = x - 3x +1 by using first derivative test.

A: Let g(x)= x3-3x2+1 To find the relative extremum , here we use first derivative test In this method…

Q: Find the point on the line y = – 4x + 2 closest to the point (8, 9). - The function giving the…

A: Given, equation of line : y = -4x +2 And  The point : (8, 9) {outside the line}

Q: Let be a differentiable function such that f(3)=2.345 and f'(x)= ln(x^2+1).What is the value of…

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x2 -…

A:

Q: (1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers…

A: Solution is given below:

Q: Find the derivative of the function by the limit process. f(x) = x3 - 9x + 1 f'(x)

A: We know,f'(x) = limh→0 f(x+h) - f(x)h  by limit processHere,f(x) = x3 - 9x + 1So,f(x+h) = (x+h)3 -…

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

Q: Find the derivative of the function by the limit process. f(x) = 5 − 2/3 x

A:

Q: Find the derivative of the given functions using chain rule. 1. f(x) = (2x + 1) 2. f(x) = (x² + 4x –…

A: To solve the following derivatives using chain rule and product as well as quotient rule.

Q: Use the second derivative test to find the extreme values of the function f(z) = z-3z2-24z

A: