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Q: Find f'(a). f)t( 1 t² +4

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Q: Find f. 4 3 f '(x) Vx 45e sec2 f(0) 11 х, = f(x)

A: To find the function f.

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: 1 Y(s) 4 5s2 S

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Q: max value for y

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Q: f(x) = 3x² - 2cos(x) find the equation for f'(x).

A: Consider the fucntion

Q: 3. Find f(x) if f'(x) = sec²x - sinx and f(TT/4) = 1. %3D %3D

A: Given: f'(x) = sec2x -sinx  To find: The value of f(x)  and  fπ4.

Q: f(t)=−2t^2+t+1 Find the equation of the line tangent to the graph of f(t) at t=9 y=

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Q: Let f(x) = 3e7x+3 +e². ƒ'(0) = Enter the exact value.

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Q: Find f(x) dx if S5 f(x) lx for x 2 5' for x < 5

A: Given- ∫07fxdx if 5    for x&lt;5x    for x≥5 To find- The value of the above integral.

Q: y y=f'(x) 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

Q: Find y' for (ry)”/” – 64 at the point (4,4). (wy)³/2 C At (4, 4), g' DE

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Q: Longest interval for (t+2)y’’-(sint)y’+ty/t-4=e^2t/t y(-1)=0

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Q: Find f. 3 f'(x) = 1 - x? f(x) =

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Q: LET 9 (3)=4₁ g (3)=-1 FIND H (3) For H(X) = xg(x) 5x-6 FUNCTION

A: solution is given below..

Q: r(x) = 3x/4- x0.1/3 + 5/4x1.1 - 3 r'(x) =

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Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

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Q: of y = 2 tan x 1-tan²x

A: Solution is done in step 2

Q: The rate at which users join is R'(t)=_.36t^2+3.84t+0.46 where t is months from (0<t<10) if there…

A: It is given that, the rate at which users join is R'(t)=_.36t^2+3.84t+0.46 where t is months from…

Q: Find f. 4 f'(x) = 1- Ex) = %3D

A: This is a problem related to integral. Based on the given differential equation we will calculate…

Q: Find f. 13 f"(x)=x³+ sinhx, f(0) = 4, ƒ(2)= 5

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Q: Find h'(x) if rsin 2x t2 cost dt h(x) = J3 %3D

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Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

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Q: If f'(1) = 3e2 and f(0) = 2 then find f(1). %3D %3D

A: Given:     To determine: f(1)

Q: Find F' (x) if F(x) = L Vt² + 1dt.

A:

Q: Find y' if y = 2vx (3x - 2) at x = 4. %3D

A: We need to find y' at x=4

Q: f(x) = tanh(6x) then f'(x) =

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Q: Q.No.3. (a) Find y' (1) x/2 + 2 y = (b) Find f'(x) (x2 +1)Cotx f(x) 3 — Сosx Cscx

A: Given that  The equation  To find the derivatives of the function

Q: t (x) = e – 3x +2 | Find Where Increasing/Decreasing

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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