Find the critical points of the following function. f(x) = 5x? - 3x – 1 What is the derivative of f(x) = 5x - 3x – 1?

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: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

A:

Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

A:

Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

A:

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

A:

Q: find the derivative of the given function y - x2-1     f'(2)

A: Given function is y=x2-1. To find the derivative of the function f'2. Solution: Power rule of…

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the…

A:

Q: Find the value of the derivative (if it exists) at each indicated extremum.          f(x) = x2/(x2 +…

A:

Q: 2. Given: y = f (x) = (2x-2 + 5x³). What is the slope (gradient) of the first derivative function at…

A:

Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

A:

Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

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 second derivative of the function y=x(x² – 1) (А) 4x(5х2 - 3) в) 2x(5x2 - 6) (с) (2х -…

A:

Q: Find the critical points of the following function. Use the Second Derivative test to determine (if…

A:

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1. dy 3) Using…

A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

Q: Find the derivative with respect to x of 1 f(x) V3x + 9

A:

Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

A:

Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

A:

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: Q2:A/ Consider the function f(x) = 11x+3 -what are the first and second derivatives? -what are the…

A: We will answer the first three subparts of the first question as per our guideline. Please resubmit…

Q: Find the critical points of the following function. f(x) = X +49 What is the derivative of f(x) = x…

A: The critical points of a function are the points where f'(x)=0. To differentiate the given function…

Q: Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the…

A:

Q: Which function has the same derivative function f(x) as g(x) = lnx + x² – x? Select one: O a. f(x) =…

A: Given: g(x)=ln x+x2-x The derivative of ln x is 1x. The rule for differentiation is ddxxn=nxn-1…

Q: Find the derivative at each critical point and determine the local extreme values. y = x23(x2 - 4);…

A: Given:- y=x2/3(x2 -4) To find:- Critical point and local extreme value of y for all x≥ 0

Q: Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the…

A: given  fx=lnx f'x≈fx+h+2fx-3fx-h4h to find the actual error

Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

A:

Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

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

A:

Q: #4) Given the function f (x) =x³-x² +2x- 1. Use the second derivative test, where applicable, to…

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

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: Find the derivative of the given function y = (2x+ 5)v4x – 1

A:

Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

A:

Q: Find the value of the derivative (if it exists) at each indicated extremum.         g(x) = x + 4/x2

A:

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

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: The given function is fx=1+x. The derivative of the function is, f'x=1. At point a = 8.1,…

Q: find the following third derivative of y=(3x+2)2

A:

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: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

A:

Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: