Question

Find the derivative of the following : (by first principles)

(i) f(x) = secx

(ii) f(x) = secx

(iii) f(x) = cotx

(iv) f(x) = sin(x + 1)

(v) f(x) = cos(x - π/8)

(vi) f(x) = xⁿ.

Answer 1

= cos(x + 1 + 0).1

= cos(x + 1)