Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2) – 10= r'(x) = 5n(=) , 1 %3D

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

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Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: Given f''(x) = 7x – 6 and f'( – 2) = 3 and f( – 2) = – 1. %3D Find f'(x) Preview and find f(3)…

A: To find f'(x) we have to integrate f"(x) c=integrating constant Given that f'(-2)=3, using that we…

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

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Q: Differentiate f(x) = (3x)n() for r > 0. %3D

A: To differentiate (variable)(variable) ,  we need to take logarithm both the side then to…

Q: Find f. f'(x) = 16x3 + 1 x > 0, f(1) = 5 f(x) =

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Q: Find f'(x) and f'(c). Function Value of c x2 - f(x) = 4 C = 1 %3D X - 7 – 14x + 4 f'(x) = %D (x- 7)2…

A: Given:- f(x) =(x2 -4)/(x-7)  To find:- f'(x) and f'(C) where C=1

Q: Find f'(a). f(x) = 2x2 – 5x + 2 f'(a) =

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Q: Find f '(x) and f '(c). f(x) = (x³ + 4x)(2x³ + 4x – 5), C = 0 %3D

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Q: Find f'(x) and f"(x). f(x) x2 - 8 f"(x) f"(x)

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Q: Given f"(x) = 2x? – 4x3- 7x +3, f'(1) = -6, and f(1) = -7. %3D Find f'(x) and f(x). Part 1: Find the…

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Q: Find f'(x), f'"(x), and f""(x). f(x) = 4x? (2– 9x -3) f'(x)= f'"(x) =|

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Q: Find f'(x) and f'(c). Function Value of c 4 f(x) %3D C = 1 X- 9

A: To find the derivative

Q: If f(x) dx = 4x7 – 6x5 + C, find f(x). %3D -

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Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

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Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: Find g' (6) given that f(6) = = 3 andf'(6) = 6. Enter the exact answers. (a) g(x) = 7x- 6f(x) g'(6)…

A: The given problem is to find the value of g'(6) for the given 2 functions  we are given with other…

Q: Find g' (5) given that f(5) = – 3 and f' (5) = 6. Enter the exact answers. (a) g(x) = 6x² – 5f(x) g'…

A: (a) The given expression of the function is: g(x)=6x2-5f(x)      ...(1) Given, f(5)=-3 ; f'(5)=6

Q: f" (x) = 5x + 6 and f'(-2) = 1 and f(-2) = 0. Find f' (x) = and find f(2) =

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Q: Let Zlx) ~N(0,1) prop (x1.21) = %3D prop

A: Let X be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: The total cost in dollars of producing x coffee makers is C(x) = 2500 + 30x — . Find the exact cost…

A: The total cost in dollars of producing x coffee makers is Cx=2500+30x-x25

Q: Find g' (5) given that f(5) = - 4 andf' (5) = 8. Enter the exact answers. (a) g(x) = 6x² – 5f(x)…

A: We know that; The Power Law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-f·g'g2   (a). Given: gx=6x2-5fx

Q: If f(x) = 3x2 – 3x – 25, find f'(x). %3D - f'(x) = Find f'(1). f'(1) = %3D

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Q: Given f''(x) = 4x – 5 and f'(– 3) = 3 and f( – 3) = 6. Find f'(x) = and find f(3)

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Q: 6. Find f '(x) for f(x) = %3D 6. f '(x) =

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Q: Find f such that f'(x) = 4x - 7, f(7) = 0. f(x) =O

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Q: Find f. f"(x) = 4 – 6x – 60x³, f(0) = 7, f'(0) = 5 %3D - f(x) =

A: Since, we have been given that f"(x)=4-6x-60x3 -(i) with f(0)=7 and f'(0)=5Our Aim is to find the…

Q: If f(x) = Va - 4 find: Va + 4 f'(x) = %3D f'(2) =

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Q: Let f(x) = g(x) / h(x) and consider the following values: g(14) = 4, h(14) = 4, g'(14) = 5, f '(14)…

A: Given: fx=gxhx        -(1) Also, g14=4h14=4g'14=5f'14=1 Now, putting the value of g(14) and h(14) in…

Q: 5x2 + 5x + 5 Find f'(9) if f(x) = f'(9) = %3D

A: Solution: The objective is to find the derivative of the given function at the given point

Q: Find f such that f'(x) = 6x- 7, f(2) = 0. f(x) = D

A: In this question we need to find a f(x)