CLASS 11 MATHS (DERIVATIVES)

If f(x) = x sin x, then f' ( $$\frac{\pi}{2}$$  ) is equal to

If f(x) = $$x^{100}+x^{99}+....+x+1$$  , then f' (1) is equal to

If f(x) = $$1+x+\frac{x^2}{2}+....+\frac{x^{100}}{100},\ then\ f'\left(1\right)\ is\ equal\ to$$  

If $$y\ =\ \frac{\sin\ x\ +\ \cos\ x}{\sin\ x\ -\ \cos\ x}\ ,\ \ \frac{dy}{dx}\ at\ \ x\ =\ 0\ \ is$$  

If y = $$1+\frac{x}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}+\frac{x^4}{4!}+........,\ then\ \ \frac{dy}{dx}\ is\ equal\ to\$$  

If y = $$\sqrt[]{x}$$  , then $$\frac{\text{d}y}{\text{d}x}\ is\ equal\ to$$  

If f(x) = $$x^{n\ }\ and\ if\ \ f'\left(1\right)\ =\ 10$$  , then the value of n is

If y = $$e^{\sin\ x}$$  , then $$\frac{dy}{dx}$$   is equal to

If f(x) = $$\frac{x^n\ -\ a^n}{x\ -\ a},\ \ then\ \ f'\left(a\right)\ is$$  

If $$y\ =\ \sin^2x\ ,\ \ then\ \ \frac{dy}{dx}\ is\ equal\ to$$