Sample QuestionsLIMITS AND DERIVATIVES questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Find the derivative of function (x + sec x)(x - tan x) (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
Find the derivative of function $\frac{x}{{1 + \tan x}}$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function $(x + cos x) (x - tan x)$ (it is to be understood that $a, b, c, d, p, q, r$ and $s$ are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function $(a{x^2} + \sin x)(p + q\;\cos x)$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function ($x^2 + 1$) cos x (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function $\frac{{p{x^2} + qx + r}}{{ax + b}}$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function $\frac{{ax + b}}{{p{x^2} + qx + r}}$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):.
View full solution →Find the derivative of function $\frac{1}{{a{x^2} + bx + c}}$(it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function $\frac{{1 + \frac{1}{x}}}{{1 - \frac{1}{x}}}$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function $\frac{{ax + b}}{{cx + d}}$ (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers).
View full solution →Find the derivative of function cosec x cot x.
Find the derivative of $\frac{2}{{x + 1}} - \frac{{{x^2}}}{{3x - 1}}$
View full solution →Find the derivative of function 2tan x - 7 sec x
Evaluate the following limits in Exercise:$\lim\limits_{\text{x}\rightarrow-2}\frac{\frac{1}{\text{x}}+\frac{1}{2}}{\text{x}+2}$
View full solution →Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): $\frac{\cos\text{x}}{1+\sin\text{x}}$
View full solution →Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): $\frac{\text{x}}{\sin^{\text{n}}\text{x}}$
View full solution →Evaluate the following limits in Exercise:$\lim\limits_{\text{x}\rightarrow0}\frac{\sin{\text{ax}}}{\sin\text{bx}},\text{a},\text{b}\neq0$
View full solution →Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): $(\text{px+q})\Big(\frac{\text{r}}{\text{x}}+\text{s}\Big)$
View full solution →