Find the derivative of the given function: sin (3x + 5)

We can solve it using the chain rule.

Answer: The derivative of sin (3x + 5) is 3 cos (3x + 5)

Let see how we can solve this.

Explanation : 

We have to differentiate sin (3x + 5) 

We have 

y = sin (3x+5)

dy/dx = d[sin(3x+5)]/dx

= cos (3x+5) d(3x+5)/dx [ By chain rule]

= cos (3x+5) [3]

 = 3 cos (3x+5)

Thus, the derivative of sin(3x+5) is 3 cos (3x+5).