1. Differentiate the following functions with respect to the variable given in brackets:

(a) y = 2x3 + 4x2 + 2x − 1 (x)

(b) y = e−2x + 2 (x)

(c) y = ln(5t) + t3 + 2t2 − 1 (t)

(d) y = −2 ln(t) − 3e2t − 4t (t)

(e) y = x2 + 3x + 2 (x) (f ) y = ln(2x) + ex (x)

(g) y = 3e4t + 2t2 (t) (h) y = ln(3t) + e9t − 4 (t)

(i) y = 1 x2 + √ x + 2 (x) (j) y = 2 x3 + 4x2 – 2x + 3 (x)