Question

The derivative of cosx w.r.t. sinx is
A) tanx (B) – tang (C) cotx (D) – cotx
ple tell with steps​

Answer 1

Answer:

Write the derivative of sinx w.r.t. cosx is −cotx.

Write 1 if true and 0 if false.

Medium

Solution

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Correct option is

A

1

Let u=sinx,v=cosx

So, we need to find

dv

du

On differentiating w.r. t. 'x', we get

dx

du

=

dx

d

(sinx)=cosx and

dx

dv

=

dx

d

(cosx)=−sinx

∴

dv

du

=

−sinx

cosx

=−cotx