First slide

Differentiability

Question

$f (x) = \min {\sin x, \cos x} i n [0, \frac{π}{4}] then f^{'} (0) =$

Easy

A

1
B

0
C

-1
D

2

Solution

We have $f (x) = m i n \{\sin x, \cos x\} i n [0, \frac{π}{4}]$
$\Rightarrow \begin{array}{l} \Rightarrow : f (x) = \sin x \\ f^{'} (x) = \cos x \\ \Rightarrow f^{'} (0) = 1 \end{array}$

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