MATH 4A Lecture Notes - Lecture 5: Product Rule, Integrating Factor

B)0,316 Find the derivative of y with respect to x. 10) y = tan-1 (In 2x) 10) x(1+ (In 2x)?) x1+(In 2x2) C) 1+ (In 2x)2 D) I (ln 2x)2 Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y=ln(x-8) A) C) D) x+8 x+8 x-8 12) y=ln 12) x 3)4 D) In 5x-7 (x+ 3)5 C) +3)1-x) (x +3)5 Solve the problem. 13) The area of the base B and the height h of a pyramid are related to the pyramid's volume V by 13) the formula V-Bh. How i dVidt related to dh/dt if B is constant? dV dh dt dt dt 3 dt dt 3 dt dt dt Determine whether the function satisfies the hypotheses of the Mean Value Theorem for the given interval. 14) s(t)-|t(1-1) A) No [-1,sj 14) B) Yes B-4