2 (x; -m)² GIVEN THE VARIACE V[x] = Ei pi WHERE M = E[X] = Eixipi; SHOW EXPRESSION 2 V[x] = E[X²]- (E[x])

Q: Example #3: Consider the function fcx) = (2x+1) √√x-1 Evaluate: a) b).. (³x f'(x) dx. 5 fcx) dx 2

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Q: 3x² Find f'(x) given that f(x) = Vx² + 2x -1

A: Given: f(x)=3x2x2+2x−1f'(x)=? Let, y=3x2x2+2x−1dydx=?

Q: Find Give a specific function for F(x). F(x) = = [ x(x² + 6)³ dx F(x) =

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Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: Consider the function f(x) = 4 sin(x) cos(x) + 6 csc(x). Evaluate its derivative at the point x =…

A: Product rule of derivative is used.

Q: x2 + a Consider the function Find the value of the constant a so that y' (1) = 0.64

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Q: Find the derivative of the function and evaluate the derivative at given a. 7000 x d de Evaluate the…

A: Given: h(x) = xx a = 1

Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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