First Principle of Differentiation
Trending Questions
Q. Let f:R→R satisfying |f(x)|≤x2 ∀x ∈R is differentiable at x=0, then f′(0) is
Q.
What is the derivative at the point x=−2 on the curve y=x2?
Q. Total number of points of non-differentiability of f(x)=[3+4sinx] in [π, 2π] where [.] denote the g.i.f are
- 5
- 6
- 9
- 8
Q. Which of the following functions is/are continuous everywhere?
- sinx
- tanx
- |x|
- ax, where a>0
- Polynomial function
Q. Let f(x)=limh→0(sin(x+h))ln(x+h)−(sinx)lnxh then f(π2) is
- Equal to 0
- Equal to 1
- lnπ2
- Non - existent
Q. If f:R→R satisfies ∣∣f(x)−f(y)∣∣≤∣∣x−y∣∣3 and g(x)=f(−x+f(x)), then the value of g′(1) is
- Cannot be determined
- 1
- −1
- 0
Q. Let f(x)=⎧⎨⎩x1+e1/x x≠0, 0 x=0. Then
- f′(0−)=0
- f′(0−)=1
- f′(0+)=0
- f′(0+)=1
Q. Suppose p(x)=a0+a1x+⋯+anxn. If |p(x)|≤|ex−1−1| for all x≥0, then the maximum value of |a1+2a2+⋯+nan| is equal to
Q. If f(x)=|x2−5x+6|, then f′(x) equals
- 2x−5 for 2<x<3
- 5−2x for 2<x<3
- 2x−5 for x<2
- 5−2x for x<3
Q. Which of the following functions is/are continuous everywhere?
- sinx
- tanx
- |x|
- ax, where a>0
- Polynomial function