First slide

Diffrentiation

Question

Differentiate the following functions with respect to x
$x^{3} + 5 x^{2} - 2 .$

Easy

A

$3 x^{2} + 5 x$
B

$3 x^{2} + 10 x$
C

$6 x^{2} + 10 x$
D

$3 x^{2} + 20 x$

Solution

$\frac{d}{d x} (x^{3} + 5 x^{2} - 2) = \frac{d}{d x} (x^{3}) + 5 \frac{d}{d x} (x^{2}) - \frac{d}{d x} (2) = 3 x^{2} + 5 (2 x) - 0 = 3 x^{2} + 10 x$

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