First slide

Diffrentiation

Question

Differentiate the following functions with respect to x,
$(2 x + 3)^{6}$

Moderate

A

$12 (2 x + 3)^{6}$
B

$6 (2 x + 3)^{5}$
C

$6 (2 x + 3)^{6}$
D

$12 (2 x + 3)^{5}$

Solution

$\frac{d}{d x} (2 x + 3)^{6} = 2 \frac{d}{d X} (X)^{6}, where X = 2 x + 3 = 2 \{6 X^{5}\} = 12 X^{5} = 12 (2 x + 3)^{5}$

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