Find the second derivative .

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Find the second derivative d2dx2(7⋅5x)\dfrac{d^{2}}{dx^{2}}\bigl(7\cdot 5^{x}\bigr). (a) 7(ln⁡5)25x−17(\ln 5)^{2}5^{x-1} (b) 7(ln⁡5)25x7(\ln 5)^{2}5^{x} (c) 7((ln⁡5)2+15)5x7\bigl((\ln 5)^{2}+\dfrac15\bigr)5^{x} (d) 7ln⁡5 5x7\ln 5\,5^{x}

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