Answer :
f(x) is an even function.
This means that f(-x) = f(x).
If we differentiate this equation on both sides w.r.t. x, we get –
f’(-x).(-1) = f’(x)
or, -f’(-x) = f’(x)
i.e., f’(x) is an odd function. (Ans)
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
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Show that of all
Mathematics - Board PapersFind the value of
Mathematics - Board PapersIf x sin (a + y)
Mathematics - ExemplarThe function f(x)
Mathematics - ExemplarShow that of all
Mathematics - Board PapersIf the function f
Mathematics - Board PapersFind <img w
Mathematics - ExemplarLet f(x) = |sinx|
Mathematics - ExemplarThe derivative of
Mathematics - Exemplar