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# Find the derivative of the following functions (it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers: a/x⁴ - b/x² + cos x

**Solution:**

The given function is f(x) =a/x⁴ - b/x² + cos x. It can be written as f(x) = ax^{-4 }- bx^{-2} + cos x.

Using the derivative formula, d/dx (x^{n}) = n x^{n-1}, the derivative of the given function is

d/dx (f(x)) = a (-4x^{-5}) - b (-2x^{-3}) + (- sin x)

= -4a/x^{5} + 2b/x^{3} - sin x

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 10

## Find the derivative of the following functions (it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers: a/x⁴ - b/x² + cos x

**Summary:**

The derivative of the given function a/x⁴ - b/x² + cos x is -4a/x^{5} + 2b/x^{3} - sin x

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