Q. 3 E5.0( 2 Votes )

# Differentiate the

We need to find derivative of f(x) = √(sin (3x + 1))

Derivative of a function f(x) is given by –

f’(x) = {where h is a very small positive number}

derivative of f(x) = √(sin (3x + 1)) is given as –

f’(x) = f’(x) = We can’t evaluate the limits at this stage only as on putting value it will take 0/0 form. So, we need to do little modifications.

Multiplying numerator and denominator by , we have –

f’(x) = Using a2 – b2 = (a + b)(a – b), we have –

f’(x) = Again using algebra of limits, we get –

f’(x) = Use: sin A – sin B = 2 cos ((A + B)/2) sin ((A – B)/2)

f’(x) = f’(x) = Using algebra of limits –

f’(x) = Use the formula – f’(x) = Put the value of h to evaluate the limit –

f’(x) = Hence,

Derivative of f(x) = √(sin (3x + 1)) = 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 RELATED QUESTIONS :

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate eacRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate eacRD Sharma - Mathematics

Differentiate eacRD Sharma - Mathematics