Let , where is a positive constant. If , then…

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

Problem

Let y=(1+2px)4y=(1+2px)^{4}, where pp is a positive constant. If d2ydx2∣x=0=96\displaystyle \left.\dfrac{d^{2}y}{dx^{2}}\right|_{x=0}=96, then pp equals (a) 44 (b) 222\sqrt{2} (c) 2\sqrt{2} (d) 22\dfrac{\sqrt{2}}{2}

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