At , the functions , , and satisfy , , , and , , . Evaluate…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

At x=2x=2, the functions pp, qq, and rr satisfy p(2)=3p(2)=3, q(2)=5q(2)=5, r(2)=−1r(2)=-1, and p′(2)=4p'(2)=4, q′(2)=−2q'(2)=-2, r′(2)=7r'(2)=7. Evaluate ddx[p(x)q(x)r(x)]∣x=2\dfrac{d}{dx}\big[p(x)q(x)r(x)\big]\Big|_{x=2}.

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