Q26 of 354 Page 11

If f(x) is an even function, then write whether f’ (x) is even or odd.

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)

If (1) and u’(1) = v’(1) = 2, then find the value of f’(1).

If y = log |3x|, x ≠ 0, find

If f(x) is an odd function, then write whether f’(x) is even or odd.

Write the derivative of sin x with respect to cos x.