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Differentiate $\ln (e)$ with respect to $x$
NETNUST Entry TestMathematicsDifferentiation
What is the derivative of $\tan(\sqrt x)$
NETNUST Entry TestMathematicsDifferentiation
Derivative of ${\rm{cose}}{{\rm{c}}^{ - 1}}\left( x \right)$ is
NETNUST Entry TestMathematicsDifferentiation
The derivative of $f(x)$ with respect to $x$ is defined as
NETNUST Entry TestMathematicsDifferentiation
Find the derivative of $3^{2x}$
NETNUST Entry TestMathematicsDifferentiation
The function of the form $f(x, y) = c$, can be differentiated using which of the following methods?
NETNUST Entry TestMathematicsDifferentiation
What is the derivative of $2t^{3}$ with respect to $3t^{2}$?
NETNUST Entry TestMathematicsDifferentiation
What are the two numbers whose sum is 20 but their product is maximum?
NETNUST Entry TestMathematicsDifferentiation
Ripples in shape of circles are produced when a stone is thrown in water. If the rate of change of circumference of these circles is $12\pi$, what is the rate of change of area of the circle when the radius is 3cm
NETNUST Entry TestMathematicsDifferentiation
Which of the following mathematician gave the notation $\frac{dy}{dx}$ for the derivative?
NETNUST Entry TestMathematicsDifferentiation
Derivative of $2x^{5}$ is
NETNUST Entry TestMathematicsDifferentiation
Multiple-choice question
NETNUST Entry TestMathematicsDifferentiation
If $y=x-\frac{1}{\sqrt{x}}$ then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
If $y=\frac{2}{\sqrt[3]{x}}$, then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=5\sqrt{x^{3}}$ then f'(x)=
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=\frac{1}{\sqrt{x^{2}-1}}$, then f'(x) equals:
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=(1-4x^{3})^{5}$ then f'(x) is:
NETNUST Entry TestMathematicsDifferentiation
If $y=(x^{2}+5)(x^{3}+7)$, then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
Multiple-choice question
NETNUST Entry TestMathematicsDifferentiation
The derivative of $\frac{2}{x^{3}}$ is:
NETNUST Entry TestMathematicsDifferentiation
The derivative of $\sqrt{x}+x\sqrt{x}$ is:
NETNUST Entry TestMathematicsDifferentiation
$f(x)=ax^{2}-3x-5$ and f'(2)=9, a is equal to:
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=\frac{1}{x-2}$ then f'(0) equals:
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=(1+\frac{1}{x})(1+\frac{1}{x^{2}})$ then f'(x)=
NETNUST Entry TestMathematicsDifferentiation
If $f(x)=x-\frac{1}{x}$ then f'(x)=
NETNUST Entry TestMathematicsDifferentiation