please solve the problems Fully and Fast! Thanks hero !.

Problem 7 Consider the function given here: f ( x) =x(5-x)3 A. Find the local extreme and perform the first derivative test (A:2, C:3) B. Determine the point of inflection and perform the second derivative test. (A:2,C:3) (Leave the evaluation in exact value form, i.e. using square root or cube root if cannot be evaluated)Problem 6 Find -, do not simplify unless it states dx A . f ( x ) = sin 2 (K:1, A:2) B. g(x) = cos V4x - 1 (K:1, A:2) C. R(x) = In (K:1, A:2)D. y=XV (K:1, 1:2) E. xe' - y = ye' (K:1, 1:2)