Welcome to your Continuity and Differentiability Quiz 1
1. What is the derivative of $\sin^{-1} x$ ?
2. Given $f = u \cdot v $ where u and v are functions of x, what is the derivative of f?
3. What is the derivative of $ \sec x $ ?
4. Evaluate $ \lim_{x \to 0} \frac{\tan x}{ x}$ = _____
5. What is the derivative of $a^x$ ?
6. Evaluate $\lim_{x \to a} \frac{x^n - a^n}{x-a}$
7. What is the derivative of cosec x ?
8. Which of the following is correct for a function f which is differentiable at c?
9. What is the derivative of $ e^x $ ?
10. Given $ f = \frac{u}{v} $ were u and v are the function of x what os the derivative of f ?
