First slide

Diffrentiation

Question

$If y = 2 \sin^{2} θ + \tan θ then \frac{d y}{d θ} will be$

Easy

A

$4 \sin θ \cos θ + \sec θ \tan θ$
B

$2 \sin 2 θ + \sec^{2} θ$
C

$4 \sin θ + \sec^{2} θ$
D

$2 \cos^{2} θ + \sec^{2} θ$

Solution

$\begin{array}{l} y = 2 \sin^{2} θ + \tan θ \\ y' = 2 \times 2 \sin θ \cos θ + \sec^{2} θ \\ y' = 2 \sin 2 θ + \sec^{2} θ \end{array}$

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