First slide

Diffrentiation

Question

$y = 4 + 5 x + 7 x^{3} . Find \frac{d y}{d x}$

Easy

A

$5 - 21 x^{2}$
B

$5 + 21 x^{2}$
C

$9 + 7 x^{2}$
D

$5 + 21 x$

Solution

$\begin{array}{l} y = 4 + 5 x + 7 x^{3} \\ \frac{d y}{d x} = 0 + 5 (1) + 7 (3 x^{2}) (∵ \frac{d c}{d x} = 0, \frac{d x}{d x} = 1, \frac{d x^{n}}{d x} = n x^{n - 1}) \\ 21 x^{2} + 5 \end{array}$

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