\(\frac{1}{2}, 3\)
\(\frac{1}{3}, -\frac{1}{2}\)
\(1, -\frac{1}{3}\)
\(1, \frac{1}{3}\)
Correct answer is C
At turning point, \(\frac{\mathrm d y}{\mathrm d x} = 0\).
Given \(x^{3} - x^{2} - x + 6 \)
\(\frac{\mathrm d y}{\mathrm d x} = 3x^{2} - 2x - 1 = 0 \)
\(3x^{2} - 3x + x - 1 = 0 \implies (3x + 1)(x - 1) = 0\)
\(x = \frac{-1}{3}, 1\)
Factorize completely: \(x^{2} + x^{2}y + 3x - 10y + 3xy - 10\)....
If V = plog\(_x\), (M + N), express N in terms of X, P, M and V...
Simplify \(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{-\frac{1}{2}}\)...
Integrate \((x - \frac{1}{x})^{2}\) with respect to x....
In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizonta...