Question

If y = cos x then dy/dx= ?

Answer 1

Y= cos x Then dy/dx= d (cos x)/dy dy/dx = (-sin x)

Answer 2

$\displaystyle \sf{If \: \: y = cos \: x \: \: then \: \: \frac{dy}{dx} = - sin \: x }$

Given :

y = cos x

To find :

$\displaystyle \sf{ \frac{dy}{dx} }$

Solution :

Step 1 of 2 :

Write down the given function

The given function is

y = cos x

Step 2 of 2 :

Find first order derivative

y = cos x

Differentiating both sides with respect to x we get

$\displaystyle \sf{ \frac{dy}{dx} = \frac{d}{dx}(cos \: x) }$

$\displaystyle \sf{ \implies \frac{dy}{dx} = - sin \: x}$

$\displaystyle \sf{If \: \: y = cos \: x \: \: then \: \: \frac{dy}{dx} = - sin \: x }$