sin x - cos x
cos x - x sin x
cos x + x sin x
sin x + x cos x
Correct answer is D
y = x sin x
Where u = x and v = sin x
Then \(\frac{\delta u}{\delta x}\) = 1 and \(\frac{\delta v}{\delta x}\) = cos x
By the chain rule, \(\frac{\delta y}{\delta x} = v\frac{\delta u}{\delta x} + u\frac{\delta v}{\delta x}\)
= (sin x)1 + x cos x
= sin x + x cos x
PQRS is a rhombus. If PR\(^2\) + QS\(^2\) = kPQ\(^2\), determine k....
Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\) ...
Make L the subjects of the formula if \(\sqrt{\frac{42w}{5l}}\) ...
Calculate the distance between points L(-1, -6) and M(-3, -5)...
Find the polynomial if given q(x) = x\(^2\) - x - 5, d(x) = 3x - 1 and r(x) = 7....
Find the variance of 2, 6, 8, 6, 2 and 6 ...
If \(\frac{1}{2}\)x + 2y = 3 and \(\frac{3}{2}\)x and \(\frac{3}{2}\)x - 2y = 1, find (x + y)...