If f(x)=3x-²-5x¯³+1 and g(x)=√√x, then derivative of (gof)(x) is: a. b. C. 1/1/23 1 2 3x ² 5x 3 1 d. none 1/13 (3x-2-5x-3-1) 3 6x 15x (3x²5x³+1)(-6x³+15x) 4 1 ²(-6x³+15x-4) - ²7 (−6x³+15x²

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

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Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

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Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

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Q: Find f(x)=x³-21x²+19x+7 £fic concave DIS ON 1475 the inflection points.

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Q: S (et +3e²x) dx 2x 5+4et-e²x

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Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

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Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

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Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

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Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

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Q: [f(a)]² =

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Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

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Q: find the inflection points of f(x) = (x-2)4/3

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Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: f(x) = xv3+ 2 (-2)

A: Given: fx=x3+x2

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

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Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: 2 [+√²-1)dx (4) »

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Q: If f(x).= x³+3x k is divided by (x +1) and the remainder is 12, then - k = -8. True False

A: Given :fx=x3+3x-k*Remainder theorem; - If a polynomial f(x) is divided by x-a then the remainder is…

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: ex - 32 √x +x 22

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Q: If f = {(0, 1),(1, 2)}, (b) find h(x) = f(5 − 3x) − 2.

A: From the given data f(0)=1 and f(1)=2 That is f(x)=x+1

Q: Consider f(x) = x² - 5x + 2 and g(x) = -4x. a. Find (f• g)(2).

A: Given,           fx=x2-5x+2 and gx=-4x

Q: Use the table to classify the statements as TRUE or FALSE. The function f has the properties listed…

A: Let us consider a function f(x) then the function has limit at x=a if  left hand limit and right…