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7. In problems a-c, you are given f'. Find a function f with the given derivative. a. f(x)=3sin (x)cos(x) b)f(x) =5(1+e*)4ex c) f (x)=e* + sinx 8.In problems a-c , use logarithmic differentiation to find dy/dx . vx+10 x2+1 a. y= (2x+3)3(5x-1)7 b. y=(3 + sinx)* c) y= x2-1 9. The graph of y = f'(x) is given in Fig. 12. (a) Assume f(0) = 0 and sketch the graph of y = f(x) . (b) Assume f(0) = 1 and graph y = f(x) . y -f'(x) Fig. 12 10. f(x) = x- + 2x . At which point(s) (p, f(p) ) does the line tangent to the graph at that point also go through the point (3, 6) ?"