Sec 4 Applied Maths WA2
Differentiation Revision 2
1.
2x +1
.
x −1
Find the equation of the tangent to the curve at x = 5 .
Find the equation of the normal to the curve at x = −2 .
The equation of a curve is y =
(i)
(ii)
2.
Given that f ( x) = x 2 (4 − x) , find the range of values of x for which f(x) is increasing.
3.
Find the first derivative of the following.
(a)
y = x(4 x 2 + 7 x + 3)
(b)
f ( x) = ( x 2 + x + 1)(4 x − 5)6
(c)
x2 + 4
y=
2x − 3