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Popular >

derivative of f(x)=8x+sqrt(x^2+7x+3)

Solution

derivative of

f (x) = 8 x + x^{2} + 7 x + 3

Solution

8 + \frac{2 x + 7}{2 x ^{2} + 7 x + 3}

Solution steps

\frac{d}{d x} (8 x + x^{2} + 7 x + 3)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (8 x) + \frac{d}{d x} (x^{2} + 7 x + 3)

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (x^{2} + 7 x + 3) = \frac{2 x + 7}{2 x ^{2} + 7 x + 3}

= 8 + \frac{2 x + 7}{2 x ^{2} + 7 x + 3}

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\int_{1}^{2} y^{3} + \frac{1}{4 y ^{3}} d y

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\frac{\partial}{\partial y} (e^{x y z^{5}} y z^{5})

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

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=8x+sqrt(x^2+7x+3) ?
The derivative of f(x)=8x+sqrt(x^2+7x+3) is 8+(2x+7)/(2sqrt(x^2+7x+3))
What is the first derivative of f(x)=8x+sqrt(x^2+7x+3) ?
The first derivative of f(x)=8x+sqrt(x^2+7x+3) is 8+(2x+7)/(2sqrt(x^2+7x+3))