O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1 *(1 + (In x)²)

Q: Show that d (x + 1)? 1 (을 tan 'x + t In dx (1 + x)(1 + x²) x? + 1

A: The given function is

Q: the line 3x+ y=l is the tangent line for the graph of y= f(x) at x=1, then f'(1)= 1 (C) 1 (D) 3 A) 3…

A: The slope of the line y=mx+c is m. The slope is equal to the derivative of y i.e., f'y=m

Q: For-1 <x < 1 let arcsin(x) f(z) = %3D Find the antiderivative F(x) of f(x) such that F(0) = 1.

A: We use substitution substitution method to find anti derivative

Q: If f(x) f'(2) = [name] cos – 6 tan ™, then

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Q: Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan…

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Q: Consider the function f(x) whose second derivative is f"(x)=5x+3sinx if f(0)=2 and f'(0)=2 what is…

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Q: Which of the following functions listed below will result in differentiating f(r) = cosh(r) +e a…

A: Option A is correct.  If we differentiate for the first time we get f'(x) = sinhx - e^(-x)  Again…

Q: 8.. If L' { f(p)} = F (t) then L1 {f( ap) } is : a) aF(at) b) F (t/a) c) F(at) d) (1/a)F (t/a)

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Q: 3 Suppose f( – 2) and f'( – 2) = – 1. 4 Let h(x) = arcsin(f(x)). h'( – 2) =

A: hx=arcsinfx Differentiating with respect to x, we get h'x=11-fx2·f'x     ∵darcsinxdx=11-x2=f'x1-fx2

Q: 2r + 9(x)+ sin(rx). (2) Let f(x) = g where g is a differentiable function such that )-1-4 ) - d(1) =…

A: Given: f(x)=g(2x+12g(x)+sin(πx))g(14)=1−22=1−12g'(14)=2π2=π2g'(1)=3f'(14)=?

Q: f'u where f(u) =ln(cos(g(2u)))

A: We have to find the derivative of given composition function

Q: suppose f(x) and f'(x) have the following values. I -1 0 1 2 f(x) 6 -9 2 -3 f'(z) -1 5 -6 -2 et h(z)…

A: Given query is to find value of the Indicated derivative using the table.

Q: f(x) = arctan( 2x) + arccos x find f'(0) 3- O A) 2 O B) 0 C) -1 O D) -2 EL 1

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Q: 10) )Eind fCx) if f Gx)= arc sin Se 0.00

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Q: Suppose f(x) and f'(x) have the following values. -1 0 12 8 -5 10-2 8 -6 -5 7 f(x) f'(x) -2 0 -3 Let…

A: The given table is:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1:

Q: Find g' (G) if g(x) = f(sec x). %3D 3. 3. f(x) Find h'(2) if h(x) = x – 1 h'(2) :

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Q: flx) glx) g'ix) 1 2 4 2 1 8 5 7 3 7 2 7 3.

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Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: please find h'(1) based of given h(x)=f(g(x))

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Q: 4) Knowing that f = f(t), using the expressions of L[f'] and L[f"], derive an expression for d'f…

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Q: Let F (x) = In tdt then F'(x) = et3 6xe – 3x'e 3xe* – 3x'e

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Q: Let f(x) = (cosh x)² be defined on (0, 0), find %3D d 1/2) . dy

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