Q. 135.0( 1 Vote )

Differentiate the

Answer :

Let, y = (1 – 2 tan x)(5 + 4 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 = (1 – 2tan x) and v = (5 + 4sin 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 = (1 – 2tan x)




…..equation 2 { }


As, v = 5 + 4sin x




…equation 3 { }


from equation 1, we can find dy/dx



using equation 2 & 3, we get –




sin x = tan x cos x , so we get –



Hence,



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
caricature
view all courses
RELATED QUESTIONS :

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

If f(x) = x sin xRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics

DifferentiaRS Aggarwal - Mathematics