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Popular >

derivative of x^2sqrt(8x-1)

Solution

derivative of

x^{2} 8 x - 1

Solution

\frac{20 x ^{2} - 2 x}{8 x - 1}

Solution steps

\frac{d}{d x} (x^{2} 8 x - 1)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = 8 x - 1

= \frac{d}{d x} (x^{2}) 8 x - 1 + \frac{d}{d x} (8 x - 1) x^{2}

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (8 x - 1) = \frac{4}{8 x - 1}

= 2 x 8 x - 1 + \frac{4}{8 x - 1} x^{2}

Simplify

2 x 8 x - 1 + \frac{4}{8 x - 1} x^{2} : \frac{20 x ^{2} - 2 x}{8 x - 1}

= \frac{20 x ^{2} - 2 x}{8 x - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of x^2sqrt(8x-1) ?
The derivative of x^2sqrt(8x-1) is (20x^2-2x)/(sqrt(8x-1))
What is the first derivative of x^2sqrt(8x-1) ?
The first derivative of x^2sqrt(8x-1) is (20x^2-2x)/(sqrt(8x-1))