Rolle Theorem f(x) = sin x + cos x. Find c ε [0,2,π]
If xy = e(x – y) , then \(\frac {dy}{dx}\) =?
If y = sec–1\((\frac {x + x^{-1}}{x - x^{-1}})\), then \(\frac {dy}{dx}\) =?
Give that f(x) =\(\frac {1-cos4x}{x^2}\) if x < 0 ,f(x) = a if x = 0 , f(x) =\(\frac {\sqrt {x}}{\sqrt {16 + \sqrt {x} }- 4}\) if x > 0, is continuous at x = 0, then a will be
The second derivative of a sin 3t w.r.t. a cos 3t at t =π/4 is