Test my Merit My Results Create Exam

Mathematics | Differential Calculus

Applications of Derivatives Differentiability Differentiation of Parametric Functions Evaluation of derivatives
Find the local extreme value of the function f(x) = ex
The Hermite polynomial of degree n, for n being a positive integer is:
If f(x) is an even function, then f′(x) is
When Rolle's Theorem states is verified for f (x) on [a, b] then there exists c such that
Find a point on curve of f(x) = x(x - 3)2 when tangent is parallel to equation y = 0 in [0, 3]
Consider the following statements in respect of the function y = [x], x ∈ (-1, 1) where [.] is the greatest integer function: 1. Its derivative is 0 at x = 0.5 2. It is continuous at x = 0 Which of the above statements is/are correct?
The number of points where the function \(\;f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {{{\left( {x + 1} \right)}^4},\;\;x \le 1}\\ {{{\left( {x - 5} \right)}^2},\;\;x > 1} \end{array}} \right.\) attains its local maximum is
Let g(x) = f(x) + f(2+x), where  \( f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {1 - \left| x \right|,\;\;\left| x \right| \le 1}\\ {0,\;\;\left| x \right| > 1} \end{array}} \right.\) The number of points where the function g is not differentiable is
Consider the following statements: 1. The derivative where the function attains maxima or minima must be zero. 2. If a function is differentiable at a point, then it must be continuous at that point. Which of the above statements is/are correct?
The function y = f(x) has relative minima where:
find the interval in which function, f(x) = x2ex where x ∈ R, is strictly decreasing?
Given f(x) = x99. Find f(99). Where f(n) represents the nth differentiation of f(x) with respect to x. 
What is the maximum value of sin 2x ⋅ cos 2x?
If x + y = 20 and P = xy, then what is the maximum value of P?
What is the derivative of x3 with respect to x2?
Ads