Name:-1.[gpts) Let f(t) be the function in the graph below and let g(x)=-5xf(t)dt(a) Use the graph of f to make a rough' sketch of g(x) below.IIt's okay if the y values and slopes of tangent lines arent perfectly accurate, but try to get at leant some conrect(b) Compute g'(x). Justify your answer.(c) Find the values c such that g(c) is a local maximum or minimum. State which and explain how you know.2.[3pts] Consider the function f(x)=(x-3)2 on 2,5 Compute(a)fove=(b) Write down the values c such that f(c)=fevec