Which of the following is the correct expression for

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which of the following is the correct expression for ddx(au(x))\dfrac{d}{dx}\bigl(a^{u(x)}\bigr), where a>0,  a≠1a>0,\;a\neq1 and u(x)u(x) is a differentiable function of xx? (a) au(x) u′(x)a^{u(x)}\,u'(x) (b) au(x) ln⁡aa^{u(x)}\,\ln a (c) au(x) ln⁡a u′(x)a^{u(x)}\,\ln a\,u'(x) (d) au(x) u(x) ln⁡aa^{u(x)}\,u(x)\,\ln a

Related theory

Browse the problem library