Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x.

Similar Questions

A binary operation * is defined on the set of real numbers, R, by \(x * y = x + y - xy\). If the ide...

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common rat...

If \(\frac{5}{\sqrt{2}} - \frac{\sqrt{8}}{8} = m\sqrt{2}\), where m is a constant. Find m....

P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j  and PS = x...

Find the coordinates of the point on the curve \(y = x^{2} + 4x - 2\), where the gradient is zero....

Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)...

A binary operation * is defined on the set of real numbers, by \(a * b = \frac{a}{b} + \frac{b}{a}\)...

If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 ...

Find the value of x for which 6\(\sqrt{4x^2 + 1}\) = 13x, where x > 0...

Two bodies of masses 3kg and 5kg moving with velocities 2 m/s and V m/s respectively in opposite dir...