First slide

Application of diffrentiation

Question

Slope of graph y = tanx drawn between y and x, at $x = \frac{π}{4}$ is :

Easy

A

0
B

1
C

2
D

$\frac{1}{\sqrt{2}}$

Solution

$\begin{array}{l} \frac{d y}{d x} = \sec^{2} x \\ Slope at x = \frac{π}{4} is \sec^{2} 45^{\circ} = 2 . \end{array}$

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