1. Let f(x)=(x3 + 6x + 7)1/3.
(c)Let g be the inverse of f. Evaluate g'(3).solution
2. Find f(x)when
4. A curve passes through the point (1, 4) and has the property that its slope at every point P (on the curve) is twice the y coordinate of P. Find the equation of the curve.solution
Evaluate f'(p /4).solution
6. Using the fact that y = arctan(x) if and only if x = tan(y), along with implicit differentiation,prove that
b. Prove that for any positive integer n