If h(x) = x(2x + 7) 4(x - 1)², find h'(-3).

Q: Find f′(9) if f(x)=7x2 +5x+5/ √x

A: To find f'(9) , initially we have to find f'(x) from the given f(x) then substitute x=9 in the…

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: 4

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Q: Given f(x)=x^2+5x+4

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Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: Question 9 of 10 For f(x) = 3x+1 and g(x) = x² – 6, find (f- g)(x). O A. -x+3x- 5 O B. x - 3x - 7 O…

A: That's easy, just subtract corresponding functions.

Q: If g(x)=|2-x^2|, find g(5)

A: Given,

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

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Q: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

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Q: Divide f (x) = 2x ^ 4 + 3x ^ 2 + 10 by g (x) = 3x ^ 2 + 5x + 1 in Z11.

A: Solution:         To Divide f(x)=2x4+3x2+10  by g(x)=3x2+5x+1…

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

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Q: Calculate f(h + 1) and simplify completely. Calculate the average rate of change of f from r = 1 to…

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Q: Find f-1(x) f(x)=x2ln9x

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Q: Find d999 dx999 d1000 dx1000 (x1000), (x1000) and (x1000) d1001 dx1001

A: We need to evaluate the following derivatives d999dx999x1000, d1000dx1000x1000, and d1001dx1001x1000…

Q: Find f1(3) when f(x) = ∛(x2 - 1)

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Q: 12x5y'' + 8xy + 3y = 6x5 - x

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Q: If f(x)- 12+ 27, find f'(9).

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Q: Find f1(-2) whenever f(x)= x2+2x-1/ex

A: We are given f(x)= x2+2x-1/ex. Here, we need to find f1(-2) that is nothing but finding f(-2).