Let f(x)=sin(10x) Find approximate value of the derivative for x =9, h = 0.1 Use forward diffrence ƒ'(13)≈ 2•ƒ(zo)+9+f(z₁)−18-f(z₂)+11•ƒ (23) 6 h

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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Q: estimate the derivative f'(0) of f (x) = 3* using calculator to 5d.p.

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Q: Find the derivative of the given function. Infsech(x) + tanh(x)) 1) sechx+tanhr sinhx+1 sechx-tanhx…

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Q: Find the derivative of f(x) = cos*(x) + cos(x) with no in final answer negative exponents

A: We know that the derivative of sinx= cosx and cosx=-sinx

Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x³8x² + 52 f'(x) ? 0 f'(x) ?0 X…

A: The given function is

Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = 3x2 + 2x + 2 f'(x) = f"(x) =…

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Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: Find the derivative of ƒ (æ) = (8x (8z4 – 32 30)°. f' (z) =

A: Given,

Q: Find the derivative of the function f(x)= 7arcsin(x - 9). 7 f"(x) = (x-9)-1 7 f'(x)= (x - 9) - 1 7…

A: we know that ddxsin-1x=11-x2

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: What is the third derivative of f (x) = a + cosæ?

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Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = 4x² + 7x + 2 f'(x) f"(x)

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Q: Evaluate the derivative of y = (x 2+ 2x + 1)2usingd/dx (ƒ(g(x)) = ƒ′(g(x)) # g′(x)

A: We have to evaluate the derivative ofy = (x2+ 2x + 1)2usingddx(f(g(x))=f'(g(x))*g'(x)

Q: Compute the derivative of g(x) = cos(t) dt-

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Q: What is the 4th derivative at x = 0 of the function f(z) = (2r + 1)* %3D

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Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: 88. f'(x) for f(x) = (x* + x² + 1)(x² – 1)

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Q: cable below is given by: I. y = (2x*)(x*) Derivative of lII: a. y' = 14x b. y = 20x C. y' = 10x- 2x…

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Q: x² + 3 Find the derivative of the functionf (x) = V2x +5 3x2+10x – 13 A. f'(x) = f"(x). %3D…

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Q: Find the derivative of the function f(x) = (3x4-22³ - 10) ³/2 ○ f'(x) = (12x³ – 6x²)° ƒ' (x) = -—-…

A: The given function is f(x)=(3x4-2x3-10)32 We have to find the derivative of the function

Q: Find the derivative of the function y = A y' = 1 7x³ 2 V' = 773 y' + 1 1 + 7x² 13x 1 13x² 1 +…

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