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If $y=x^{m}$ then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
Multiple-choice question
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=x^{\frac{2}{3}}$ then f'(x) at x=8 equals:
NETNUST Entry TestMathematicsDifferentiation
The derivative of $\sqrt{x}$ at x=a is:
NETNUST Entry TestMathematicsDifferentiation
If $y=\frac{1}{x^{2}}$ then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
If $y=x^{2}$ then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
If f(x)=c then f'(x) equals:
NETNUST Entry TestMathematicsDifferentiation
If $y=x^{n}$4 then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
$\lim_{\delta x \rightarrow 0}\frac{f(3+\delta x)-f(3)}{\delta x}$ equals:
NETNUST Entry TestMathematicsDifferentiation
If $x\:\epsilon\:D_{f}$ and f'(x) exists, then f is said to be:
NETNUST Entry TestMathematicsDifferentiation
$\lim_{\delta x \rightarrow 0}\frac{f(x+\delta x)-f(x)}{\delta x}$ equals:
NETNUST Entry TestMathematicsDifferentiation
Let f be a real valued function continuous in the interval $(x, x_{1}) \subseteq D_{f}$ ( the domain of f) , then $\frac{f(x_{1})-f(x)}{x_{1}-x}$ represents:
NETNUST Entry TestMathematicsDifferentiation
Which of the following conic has an eccentricity $0
NETNUST Entry TestMathematicsConic Sections
Eccentricity of the Earth is
NETNUST Entry TestMathematicsConic Sections
Which of the following conic has an eccentricity equal to 1.
NETNUST Entry TestMathematicsConic Sections
At how many maximum points can two different conics intersect.
NETNUST Entry TestMathematicsConic Sections
Find the focus of the parabola $y^{2}=4x$
NETNUST Entry TestMathematicsConic Sections
When both nappes of a double-napped cone are intersected by a plane (not passing through the vertex), the cross section produces
NETNUST Entry TestMathematicsConic Sections
Find the equation of the asymptotes of the hyperbola $\frac {(y+2)^{2}}{16}-\frac {(x-2)^{2}}{9}=1$
NETNUST Entry TestMathematicsConic Sections
Find the eccentricity of the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{9}=1$
NETNUST Entry TestMathematicsConic Sections
Find the vertex of the parabola $(x-2)^{2} = 4(y+2)$
NETNUST Entry TestMathematicsConic Sections
Which of the following is a special form of ellipse when minor and major axes are equal.
NETNUST Entry TestMathematicsConic Sections
If the plane passes through the vertex of a cone, the intersection results in
NETNUST Entry TestMathematicsConic Sections
Which of the following is the equation of a parabola which is symmetric about y-axis.
NETNUST Entry TestMathematicsConic Sections
In the circle $x^{2}+y^{2}=25$ , where does the point $(5,5)$ lie?
NETNUST Entry TestMathematicsConic Sections