13. f(x) = √x₂ -π≤ x < 0, 10, 0

Q: Consider the function f (x) = 6x² + 4x + 2. Find F(x) so that F' (x) = f(x). %3|

A: f(x)=6x2+4x+2To find: F(x) such that F'(x)=f(x)

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

A:

Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

A:

Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

A:

Q: Find f'(x) for f(x) = ex²+3x+¹¸

A: Given that f(x)=ex2+3x+1

Q: Suppose, f'(x)=2cosx+ sec x, -7<x<7½, and it is known that f(T) =D4. Find the function f(x). IT

A: Integrating on both sides, we get

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: What is the domian of f'(x)?

A:

Q: 25. f(x)=2x, 0<x<2

A: 25 Given function is fx=2−x, 0&lt;x&lt;2. We have to find the even and odd extensions of the given…

Q: If f(x) = x' – 8x + 2, find f (-4).

A: We have,  fx=x3-8x+2           ⋯⋯1

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

A:

Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

A:

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: a) Let f(x) = √5 + 132³. Find f'(x). f'(2) - O b) Let f(z) J'(x) = 0 evS+13³ Find f'(z). -e'

A:

Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

A:

Q: 7. Determine where the function is continuous. (a) f(x) = 1+x (b) g(x) = sinx+x² + x + 1. x² (c)…

A: This is a problem related to continuity of thr function. Please follow the procedure given below.

Q: Find f such that f'(x) = f(x)= f(16) = 21.

A: Topic:- application of integration

Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: The function given to us is as follows: fx=x+1x2+1 at  x=0, 3 We are asked to find the integral of…