VSA

Find the least value of 'a' so that $f(x)=2x^{2}-ax+3$ is an increasing function on $[2, 4]$.

VSA

Find the interval in which the function $f(x)=x^{4}-4x^{3}+10$ is strictly decreasing.

MCQ_SINGLE

Let \(f(x)=|x|\), \(x\in R\). Then, which of the following statements is **incorrect**?

MCQ_SINGLE

The values of \(\lambda\) so that \(f(x)=\sin x-\cos x-\lambda x+C\) decreases for all real values of x are:

MCQ_SINGLE

A cylindrical tank of radius \(10\) cm is being filled with sugar at the rate of \(100~\pi~cm^{3}/s\). The rate, at which the height of the sugar inside the tank is increasing, is:

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