Variables
a= 8
b=
c= 10
d=
Remember to substitute the values of a, b, c, and d into the equations
below.
Question 1: Differentiate
a) $y = ax^b$
b) $y = bx^c - dx^a$
c) $y = x^a \sqrt{x^d}$
d) $y = c(x + b)^a$
e) $y = \frac{a}{(x - b)^c}$
f) $y = x^d \ln(x^a)$
g) $y = x^b \sin(cx)$
h) $y = x \cos(x^d)$
i) $y = \frac{ax}{e^{xc}}$
Question 2: Find the second derivative for questions 1(a), (b),
(c), (d) and (e).
Question 3: Find $\frac{dy}{dx}$ given $x = d\sin(at)$ and $y = 1 - b\cos(ct)$
