g(f(x)) is continuous for f(x) = x+2 and g(x) = x² where x = 0 True O False

Q: Let f(x)=xsinx+V1-x Evaluate f'(-). Select one: а. 2 b. 0 C. d. 3

A: According to product rule of differentiation and according to power rule of differentiation .

Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False

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Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: Define F : R → R and G : R → Z by the following formulas: F(x) = (x^2)/3 and G(x) = ⌊x⌋ for every x…

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Q: f(5 + h)- f(5) Then lim DNE If the limit does not exist enter DNE

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Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Differentiate

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Q: Evaluate f(x) = 42x – 1 , at x = 0. f(0) =

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Q: f(x) = x+ 4/x

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Q: The function f(x)=(2-x)/(3) is continuous at

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Q: Let f(x) = 8 - x f-¹(x)

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: f(x) = In (1+x³)

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Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

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Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

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Q: Let f(x) = ∥x∥. Find out its conjugate function f ⋆ and prove your conclusion.

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Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

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