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Recent questions tagged differentiation
23
votes
3
answers
91
GATE CSE 1996 | Question: 1.6
The formula used to compute an approximation for the second derivative of a function $f$ at a point $x_0$ is $\dfrac{f(x_0 +h) + f(x_0 – h)}{2}$ $\dfrac{f(x_0 +h) - f(x_0 – h)}{2h}$ $\dfrac{f(x_0 +h) + 2f(x_0) + f(x_0 – h)}{h^2}$ $\dfrac{f(x_0 +h) - 2f(x_0) + f(x_0 – h)}{h^2}$
Kathleen
asked
in
Calculus
Oct 9, 2014
by
Kathleen
7.6k
views
gate1996
calculus
differentiation
normal
19
votes
4
answers
92
GATE CSE 2014 Set 1 | Question: 46
The function $f(x) =x \sin x$ satisfies the following equation: $f''(x) + f(x) +t \cos x = 0$The value of $t$ is______.
go_editor
asked
in
Calculus
Sep 28, 2014
by
go_editor
5.2k
views
gatecse-2014-set1
calculus
easy
numerical-answers
differentiation
43
votes
4
answers
93
GATE CSE 2014 Set 1 | Question: 6
Let the function ... $\theta \in (\frac{\pi}{6},\frac{\pi}{3})$ such that $f'(\theta)\neq 0$ I only II only Both I and II Neither I nor II
go_editor
asked
in
Calculus
Sep 26, 2014
by
go_editor
13.6k
views
gatecse-2014-set1
calculus
differentiation
normal
12
votes
6
answers
94
GATE CSE 1998 | Question: 1.4
Consider the function $y=|x|$ in the interval $[-1, 1]$. In this interval, the function is continuous and differentiable continuous but not differentiable differentiable but not continuous neither continuous nor differentiable
Kathleen
asked
in
Calculus
Sep 25, 2014
by
Kathleen
5.4k
views
gate1998
calculus
continuity
differentiation
easy
16
votes
2
answers
95
GATE CSE 2007 | Question: 1
Consider the following two statements about the function $f(x)=\left\vert x\right\vert$: P. $f(x)$ is continuous for all real values of $x$. Q. $f(x)$ is differentiable for all real values of $x$ . Which of the following is TRUE? $P$ is true and $Q$ is false. $P$ is false and $Q$ is true. Both $P$ and $Q$ are true. Both $P$ and $Q$ are false.
Kathleen
asked
in
Calculus
Sep 21, 2014
by
Kathleen
6.4k
views
gatecse-2007
calculus
continuity
differentiation
easy
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