■ (a) Find f'(x) if f(x) = 2√x-x√² + √2x−2+²-√2x + √2*

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

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Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: Find (g∘ f)(x) given that f(x) = sqrt2x-3 and g(x) = x^2 + 8.

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Q: Calculates  ∫ln(x2+bx+c) note: 4c−b2<0.

A: Consider the given integral   Find the integration of first team,

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.   f(x)=x−−√x+8,…

A: Given: fx=x-x+8 and gx=x2+9 The objective is to find f(g(x)) and g(f(x)).

Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

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Q: x² + 3 (b) dx x²(x² + 1)

A: Given,            ∫x2+3x2x2+1dx

Q: Let f(x)=x−3x−−√3f(x)=x−3x3 Can you please show me how to find what values are concave up or down?

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Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

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Q: 4a+ax/x)=f a=

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Q: 6. Differentiate. (Do the first step only, do not simplify) f(x) = (2x* - x³)²√3x + 1

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Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

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