If f(x)=V x + Vx , find the value of f'(1) /2 (a) 4 (b) 3/2 (c) (d) 2 (e) 8. (f) 1 (g) (h) 1/41/2

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

A: Given : ft = t2 + 7t + 35t2 + 6

Q: 2 f(x) = 3x4 10

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: If f(t) = 9t+1, find f"(5). %3D

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Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: Find f. f"(t) f(4) = 10, f'(4) = 5 f(t) =

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Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

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Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

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Q: Find (f-¹)'(a). (f-¹)'(a) = f(x) = 4x³+4x² + 5x+7, a = 7

A: I have appended the formula used in the solution part of the question

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(x) if f "(x) = x -3/2, f ' (4) = 1  and f(4) = 4.

A:

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: Find (f ¹)'(a). f(x) = √ 3x³ + 3x² + 2x + 1, (f−¹)'(a) = X a = 3

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Q: If f(x) = 6 + 5x – 5a, find f'(- 3).

A: Topic = Derivative

Q: Please

A:

Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: Find f ′(a) f(t) = t^5 - 3t

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Q: If f(x) = 18z + 9, find f'( – 1).

A:

Q: r³ (x + 2) 6. Find f'(6) for f(x) = V (x + 3) Væ2 – 27 11 (a) 18 11 (b) 216 11

A: Some common derivative rules are, Also,

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

A:

Q: Find f '(a). f(t) =  3t + 9 t + 8

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

Q: Find f(x) if f(x) = = 13. 4.x + 17 and f(1) :

A: Given: f'x=4x3+17 And, f1=13 The objective is to find fx.

Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: Find f such that f'(x) = f(x)= f(16) = 21.

A: Topic:- application of integration

Q: If f'(x) = 9xe" and f(0) = -5, then f(x) =

A:

Q: If f(x) = 5x³, then f'(2) = A. 30 B. 40 C. 60 D. 15x²

A: f(x)=5x3The formula of diffentiation is given by,f'(xn)=nx(n-1)

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

A:

Q: Find f '(a). 8t + 18 f(t) t + 3

A: The function is given as ft=8t+18t+3 Differentiate the above function w.r.t 't' f't=ddt8t+18t+3

Q: Find f'(x) for the given f(x). (a) f(x) = x8 – 7 /7 + 9x¯7

A: f'(x)=ddx(f(x))f'(x)=ddx(x8-7x+9x-7)f'(x)=ddx(x8)-7ddx(x)+9ddx(x-7)       (ddxxn=nxn-1)

Q: Find the x-coordinate(s) for the point(s) of inflection f(x) =(3x-2) - 4(2x 1)

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Q: 21 + 1 33. f(1) = %3D t+ 3

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Q: f(x) =

A: