Prove that if f(x)=c (a constant function), then f'(x)= 0

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: Find the function f(x) if f'(x) = ex+ 2 +(3/x) and f(1) = 6

A: We have to find the integral of f'(x) to obtain f(x) Steps: 1. Integrate with respect to x 2. Apply…

Q: If f(x) is a constant function, then f'(x) is zero. True False

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Q: 3) Let f(x)= 2x+3 . Calculate by definition f'(2).

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Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

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Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: Give two function f(x) and f(x) such that the f''x is equal to -2.

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Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: Find f(x) if F(x) = (1-ex)U(x-c).

A: Finding the pdf from the given cdf of X.

Q: Find the general form of f if f'(x)= -7f(x).

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Q: 2. Find f'(x) for f(x) = x²e.

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Q: Find the general form of f if f'(x)= 9f(x). f(x) = ]

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Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…

Q: Find f if f ' (x) = e x  + 20 ( 1 + x 2  ) -1  and f (0) = -2

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Q: If f(x,y) is a real valued function of two variables then what is the second derivative of f?

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Q: Find the general form of f if f'(x) = 10f(x).

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Q: Let f(x) f'(x) = = (2³+2)5 ³+6

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Q: Let f(1) = 3 and f(1) = -1. x Let g(x): 1+f(x) Then g'(1) =

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Q: 1 If f(x) = compute f(2) and f'(2)

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