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MCQs

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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
$\frac{\text{d}}{\text{d}x}(\sqrt[n]{x^{m}})$=
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
$\frac{\text{d}}{\text{d}x}(3x)^{\frac{4}{3}}$=
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
IF $f(x)=\frac{ax+b}{cx+d}$ then f'(0) equals:
NETNUST Entry TestMathematicsDifferentiation
If $y=x^{-3}+2x^{-\frac{3}{2}}+3$, then dy/dx equals:
NETNUST Entry TestMathematicsDifferentiation
$\frac{\text{d}}{\text{d}x}(\sqrt{x} -\frac{1}{\sqrt{x}})^{2}$=
NETNUST Entry TestMathematicsDifferentiation
$\frac{\text{d}}{\text{d}x}(x-5)(x-3)$=
NETNUST Entry TestMathematicsDifferentiation
$\frac{\text{d}}{\text{d}x}(\frac{a+x}{a-x})$=
NETNUST Entry TestMathematicsDifferentiation
If c is constant. then dy/dx(c)=
NETNUST Entry TestMathematicsDifferentiation
$\frac{\text{d}}{\text{d}x}(\frac{f(x)}{g(x)})$=
NETNUST Entry TestMathematicsDifferentiation
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