Q. 65.0( 1 Vote )

Differentiate the following functions with respect to x:

(x3 + x2 + 1) sin x

Answer :

Let, y = (x3 + x2 + 1) sin x

We have to find dy/dx

As we can observe that y is a product of two functions say u and v where,

u = x3 + x2 + 1 and v = sin x

y = uv

As we know that to find the derivative of product of two function we apply product rule of differentiation.

By product rule, we have –

…equation 1

As, u = x3 + x2 + 1

…equation 2 { }

As, v = sin x

…equation 3 { }

from equation 1, we can find dy/dx

{using equation 2 & 3}


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses