4.0
6.5
5.0
10.6
Correct answer is B
f(x)=(x2+3)2
Using the chain rule, dydx=dydu×dudx
Let u=x2+3 so that y=u2
dydu=2u
dudx=2x
∴
But u = x^{2} + 3,
\frac{\mathrm d y}{\mathrm d x} = 4x(x^{2} + 3)
At x = \frac{1}{2}, \frac{\mathrm d y}{\mathrm d x} = 4(\frac{1}{2})((\frac{1}{2})^{2} + 3)
= 2 \times \frac{13}{4} = \frac{13}{2} = 6.5
Given that P = { x: 0 ≤ x ≤ 36, x is a factor of 36 divisible by 3} and Q = { x...
A binary operation * is defined on the set of real numbers, R, by P * q = \frac{q^2 - p^2}{2pq}...
The table shows the mark obtained by students in a test. Marks 1 2 3 4 5 Frequency ...
Given that \sin x = \frac{-\sqrt{3}}{2} and \cos x > 0, find x...
If \begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix} = \(\begin{pmatrix} 2 & 1 ...
Calculate the mean deviation of 5, 8, 2, 9 and 6 ...
The velocity, V, of a particle after t seconds, is V = 3t^{2} + 2t - 1. Find the acceleration of...