-4x 2 Find the inverse of f(x) 5x 3 - | f-(z) :

Q: find f(x) so that f'(x)=-4e^(x)-6sinx

A: To find f(x) from f'(x) , we have to integrate f'(x) We first separate the integral

Q: -4x By use of the product rule, differentiate the function f (x) = x³e¬4×.

A: Rule:

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

A:

Q: Identify the invariant points of f(x)=4x+2 and it's inverse. Justify your solution.

A: Explanation of the solution is given below...

Q: f(3) - f(-1) f(x) = 4x² - 3x +2

A:

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: x* - 3x + 2 2. Differentiate the function f (x) = %3| 2x+ 5x – 1

A: Given: fx=x2-3x+22x2+5x-1 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power law:…

Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

A:

Q: f(x) = - 3x(x - 2)(x-2)

A: Given function is fx=-3xx-2x-2.

Q: 2x – 3 - Find the inverse of f(x) - 4x + 5

A: As per guideline we have to solve one question

Q: f(x): ×+18 and glx) = 4x-34 2. f(x) - 5x - || and glx) - 7 -3x

A:

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: 3x-1 and g(x) За—1 f (x) = 7 x-3 ||

A: Consider the following functions: fx=3x-17gx=2x-3 gfx=2fx-3=23x-17-3=23x-1-217=23x-227=143x-22

Q: f'(x)= X-2 x²-9

A: Given data:   The derivative of the function is given as:.   The expression to find out the point of…

Q: ch that the function X-4 x 5. f (x) =

A:

Q: 28. f (x) = 2*-2

A: This is a question on algebraic transformations of functions.

Q: f(x)=2x+1(3x-1)

A:

Q: f (x) = 7x + 5; Find f (3x - 1)

A:

Q: السؤال الثاني |4-x Vx-1 Find the domain of y = - 2 3+x| x+5

A: We have to find the domain of y=4-x3+x-2-x-1x+5 For domain x≠-3, x≠-5 and  x-1≥0⇒x≥1 And…

Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: (2x- f(x) = find f'(2)

A:

Q: +x - 1, find (f-1)'(3).

A:

Q: 4x2 +3x + If f(x) f'(z) - f'(3) =

A: fx=4x2+3x+2xTo find f'x and f'3

Q: f(x) = -a2 +7x – 13 x²+7x- 13 Find f(-3)

A: fx    =-x2+7x-13f-3 =--32+7-3-13-xn=1      n is even-1   n is odd-32=9   and  +×-=-rule of sign for…

Q: 1-2x+ x 7-1 3. f(x) =

A:

Q: x-4 for x2

A:

Q: -2x+6 Consider the function f (x) = x3+2x2-15x

A: Here we use basic definition of function.

Q: Find f- (x) for f (x) = 1+ 8x. Enter the exact answer.

A:

Q: 2-2x find (fif) G) to use f Cx) = x

A:

Q: Find (f -1)'(a) for f(x) = 4x – 3 when a = –15. Enter an exact answer.

A: Our objective is to find an exact answer of the above question.

Q: F) = X- 3 x² 2x-4

A: on differentiation we get

Q: Find f. f"(x) = -2 + 36x – 12x², (0) = 8, f'(0) = 18 "(x) =

A:

Q: If f(x) = (2x + 1) (x - 3)°, then f'(2) = %3D

A:

Q: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

A:

Q: Find f(3) and f (-1)  F(x) = 3x-5  F(3) =  F(-1)=

A: Topic = Function

Q: Find the inverse of f(x) = x2 - 1 if x ≥ 0. Graph f and f -1 in the same rectangular coordinate…

A: Given: fx=y=x2-1 for finding inverse of given function, first we find x in terms of y then replace x…

Q: 4x - 4 rse of f(x) 2x - 1

A: From the given data:

Q: f(x)=2x+4 (x<-1)

A: Given , f(x)=2x+4   x&lt;-1let y=f(x)⇒y=2x+4⇒y-4=2x⇒12y-4=x  ..............................(1)the…

Q: Al6)- (;) ) A (;) - (:) |zuso -gsino) f) A(3); (xsine +yuno

A:

Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

A:

Q: Find the function f(x) = -4x^2 + 3x-1 1. F(-2)

A:

Q: - 5x + 9 x 3 -

A:

Q: 3. At what point will the graph of f(x) = 2x – 5 and its inverse intersect?

A: 3. The given function is f(x)=2x-5 Note:   Multiple questions are given, we are answered with only…

Q: f(x) = ²-12x+20 x-1

A:

Q: x³+4 Differentiate f(x) using quotient rule. %3D 4х- 5

A: We can differentiate the function using quotient rule as below.

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: f(x) = -x² – x – 2 3 g(x) : -3x + 5

A: