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Popular >

derivative of f(x)=sqrt(2x^2+7)

Solution

derivative of

f (x) = 2 x^{2} + 7

Solution

\frac{2 x}{2 x ^{2} + 7}

Solution steps

\frac{d}{d x} (2 x^{2} + 7)

Apply the chain rule:

\frac{1}{2 2 x ^{2} + 7} \frac{d}{d x} (2 x^{2} + 7)

= \frac{1}{2 2 x ^{2} + 7} \frac{d}{d x} (2 x^{2} + 7)

\frac{d}{d x} (2 x^{2} + 7) = 4 x

= \frac{1}{2 2 x ^{2} + 7} \cdot 4 x

Simplify

\frac{1}{2 2 x ^{2} + 7} \cdot 4 x : \frac{2 x}{2 x ^{2} + 7}

= \frac{2 x}{2 x ^{2} + 7}

Popular Examples

implicit (dy)/(dx),y=3x^5 implicit derivative

\frac{d y}{d x}, y = 3 x^{5}

(\partial)/(\partial y)(x/(x^4-y^7))

\frac{\partial}{\partial y} (\frac{x}{x ^{4} - y ^{7}})

derivative of f(x)=(x^3)/8 derivative of

f (x) = \frac{x ^{3}}{8}

integral of (ln(5x))/x

\int \frac{ln ( 5 x )}{x} d x

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\int \frac{y ^{2}}{25 + y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(2x^2+7) ?
The derivative of f(x)=sqrt(2x^2+7) is (2x)/(sqrt(2x^2+7))
What is the first derivative of f(x)=sqrt(2x^2+7) ?
The first derivative of f(x)=sqrt(2x^2+7) is (2x)/(sqrt(2x^2+7))