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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