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Popular >

derivative of x^2sqrt(8x-7)

Solution

derivative of

x^{2} 8 x - 7

Solution

\frac{20 x ^{2} - 14 x}{8 x - 7}

Solution steps

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

Apply the Product Rule:

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

f = x^{2}, g = 8 x - 7

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

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

\frac{d}{d x} (8 x - 7) = \frac{4}{8 x - 7}

= 2 x 8 x - 7 + \frac{4}{8 x - 7} x^{2}

Simplify

2 x 8 x - 7 + \frac{4}{8 x - 7} x^{2} : \frac{20 x ^{2} - 14 x}{8 x - 7}

= \frac{20 x ^{2} - 14 x}{8 x - 7}

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Frequently Asked Questions (FAQ)

What is the derivative of x^2sqrt(8x-7) ?
The derivative of x^2sqrt(8x-7) is (20x^2-14x)/(sqrt(8x-7))
What is the first derivative of x^2sqrt(8x-7) ?
The first derivative of x^2sqrt(8x-7) is (20x^2-14x)/(sqrt(8x-7))