Question

Find the derivative of the following functions from first principle.

(i) x³ – 27 (ii) (x – 1) (x – 2)

(ii) (iv)

Answer 1

(i) Let f(x) = x³ – 27. Accordingly, from the first principle,

(ii) Let f(x) = (x – 1) (x – 2). Accordingly, from the first principle,

(iii) Let. Accordingly, from the first principle,

(iv) Let. Accordingly, from the first principle,