If Y = aX^b(c + X^d),then dY/dX is: A) abX^b^{- 1}(c + X)^d + aX^b dX^d^{- 1}. B) abX^b^{- 1}(c + X)^d + aX^b(d - 1)X^d. C) a(b - 1)X^b(c + X^d) + aX^b(d - 1)X^d. D) abX^b^{- 1} dX^d^{- 1}. E) a(b - 1)X^b(c + X^d).

Question

Quizplus · Accepted Answer

Using the power rule of differentiation, we get: dY/dX = a^b(c + X^d) + abX^b^-1(d^-1) - aX^b(c + X^d)^d^-1 = abX^b^-1(c+X)^d - aX^b dX^d^-1

If Y = AXb(c + Xd),then DY/dX Is

If Y = AX^b(c + X^d),then DY/dX Is