1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³ +1)°(2x² – 3)³ (6) f(x)= x'e$*r

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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: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: Consider the function f(x)=x^3-3x^2-9x+7 Find the values of x such that f'(x)=0

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Q: If f'(x) = and f(0) = 2, then f(4)can be written in fully simpi %3D S(x)

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Q: Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = - f'(c) = = Value of c 0 = 5

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Q: 6. 2х — 7 H(x) .2 х? + 3,

A: We will use Chain rule and Division rule of derivative

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: Find f'(x). 9 f(x) = x2 + 3x +

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

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Q: Find f'(x) and f'(c).

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Q: Consider the function f(x) = (g(x)h(x))^2 and the following function values: f(5) = 1 g(5) = −1…

A: Given: f(x)=[g(x)h(x)]2f(5)=1g(5)=−1h(5)=2g'(5)=3h'(5)=4f'(5)=?

Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: Find the derivative of y = 5x²sec 1(2x-3). O y'= 10x sec-¹(2x-3) + O y'= 10x sec-¹(2x-3) + O y'=…

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Q: Find f'(x) and f'(c). Function Value of c f(x) = (x° + 2x)(5x + 2x - 5) C = 0 f'(x) = f'(c)

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Q: Find f(x) if f'(x) = 3x² + 10x + 3 and f( – 1) = 0 f(x) = x^2+10+3+3 Preview

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

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: Find f(x) if f' (x) = 3x – 2x + 3 and f(2) = 15. - f(z) = Preview %D

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Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

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Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(3x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: fx = x3 + 2x3x3 + 5x - 4fx = 3x6 + 11x4 - 4x3 + 10x2 - 8xDifferentiating with respect to x on both…

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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) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

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Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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

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Q: if f(x)=cosx-3tanx, then f′(x)= f'(5)=

A: The given function is f(x)=cosx-3tanx

Q: p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

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