Let f(t) = (t² + 2t + 3)(21² + 6). Find f'(t). %3D f'(t) = Find f'(5). f'(5) =O

Q: Find f'(a). f)t( 1 t² +4

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Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

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Q: If ƒ(t) = (t² + 6t + 7) (7t² + 2), find f'(t). Find f'(2).

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Q: Find f. f"(x) = −4+ 8x - 12x², f(0) = 4, f'(0) = 12 (Prob. 1,

A: Consider the derivative function and initial conditions, f''x=-4+8x-12x2,f0=4,f'0=12 The objective…

Q: If f(t) = (t + 7t + 3) (5t² + 6), find ƒ'(t). Find f'(5).

A: Given : ft = t2 + 7t + 35t2 + 6

Q: Find f. f'(X) = Vx(6 + 10x), f(1) = 11 f(x) =

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Q: Find f(x) if f'(x) =2/+.

A: The derivative of f(x) is given, so to find f(x) we need to integrate f'(x)=2x+5x6. The integration…

Q: Find f'(w) for the function. 8w7 - 9w5 f(w) = 7w5 f'(w) = %3D

A: differentiate f(w) with respect to w

Q: If f(t) = (t + 7t + 3) (5t? + 4), find f'(t). %3D Find f'(1).

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Q: Find f'(a). 1 f(t) t2 + 5

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Q: Find f. f ''(t) = 9/sqt t,    f(4) = 29,    f '(4) = 9

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Q: Find f '(a) f(t)6t12 t 7

A: The given function is

Q: If f(t) = (t + 5t + 4) (2t² + 2), find f'(t). Find f'(3).

A:

Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: For f(x) = x2 - 5x + 6, find f(2), f'(2), and f(3) – f(2). a. f(2) = b. f'(2) = c. f(3) – f(2):

A: Given function is f(x)=x2-5x+6 (a) f(2) is obtained by replacing x by 2 in f(x) as follows.…

Q: Please

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Q: Find f. f"(x) = Vx(6 + 10x), f(1) = 9 f(x) =

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Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

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Q: Evaluate the integral. 4 1 dx 2x Ji

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Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: f' (x) = 4\/x – 6x² + 3 where f(0) = 1

A: Given: f'x=4x-6x2+3; f0=1 for finding fx, we integrate f'x so, fx=∫4x-6x2+3dx…

Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

Q: Find  f'(a)

A: Here given function as ft=2t+1t+3

Q: If f(x) = (5x +6) find f'(x). Find f'(3).

A: topic - derivative of a function

Q: Find f. f"(x)  =8  x3 + 5   , f(1)   =  0 , f'(1)  =8

A: It is given that, f''x=8x3+5,  f1=0, f'1=8.   Integrate the function f''x=8x3+5 as follows".…

Q: If f(r) = 3 sec(8x), find f'(r)

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Q: If f(t) = (t² + 6t+ 3) (5+²+3), find f'(t). Find f'(2).

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Q: Compute f' (3). f (x) = -3.3x2² + 3.9 O f' (3) = -6 O f' (3) = -3.3 O f' (3) = -15.9 O f' (3) =…

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Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

Q: Find f '(x). f0) = (+4)5 f(x) f '(x)=|

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Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

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Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: Find f '(a). f(t) =  3t + 9 t + 8

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

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: f"(x) = 5x – 5 %3D - and f' (-3) = 5 and f(-3) = 5. %3D Find f'(x) = and find f(4) = %3D

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Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: If f(t) = (t + 3t + 6) (4t² + 3), find f (t). Find f'(3).

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Q: If f(t)=(t^2+6t+2)(7t^2+5). find f'(t) and f'(4)

A: Given: f(t)=t2+6t+27t2+5

Q: If f(t)=(t^2+4t+8)(7t^2+2). find f'(t) and f'(1).

A: Please refer the attached image for complete solution.