Differentiate in three ways mentioned below:

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

17. Differentiate

\left(x^{2}-5 x+8\right)\left(x^{3}+7 x+9\right)

in three ways mentioned below: (i) by using product rule (ii) by expanding the product to obtain a single polynomial. (iii) by logarithmic differentiation.

Related theory

Logarithmic Differentiation
Advanced Differentiation
Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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