dx For - = In[F(x)]+C• What is f(/3) if C = 0? (x+x³) (x Tan-'x + 1) -1 - 6. + -1 - -15 -is -is

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: f(x) = |x| · : %3D Then f-l(x) = if x > 0, and f-l (x) = if x < 0.

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Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x&lt;0 for…

Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

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Q: Let x +1 f(x) = x + 9

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Q: what for is the symbolic representa f(x), f(x) = 8x X+7 Find the inverse f='(x) = of f.

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Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: If f(x) = 6x²e*, then what is the derivative of f(x) with respect to x? 6xex O 12xe* О бхе"(x + 1) O…

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Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b &gt; 0, n+ab=Θnb

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: Find f'(x). 4 f(x) = 3x5 (x² - 4) X

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Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: is even, odd function or neither

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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Q: If f"(x) = x*+2x - 15x, then on which of the following intervals is f concave up? (-5,0) (3,00)…

A: Given f''x=x4+2x3-15x2

Q: Q1/ Find f-1(x) , identify the domain & range of f-1(x), then show that f(f-"(x)) = f"(f(x)) = x for…

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Q: if f(X)=(1-2X)^5 then find f`(X)

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Q: cos2x – sin2x cos2x For -dr=-F(x)+C What is F(x)? Cosx - sinx 2 3 2 sinx + -cosx+ cosx + - sin³x 3 3…

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Q: 12) Use the graph to evaluate the expression. (a) f(1) y = f(x) (b) f-'(1) (c) f-'(4) -3 -! 3 (d)…

A: Given Data The equation is y=f(x)   (a) From the given graph, that value at x=1 is y=1. Hence the…