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Popular >

derivative of y=x^2sqrt(8x-9)

Solution

derivative of

y = x^{2} 8 x - 9

Solution

\frac{20 x ^{2} - 18 x}{8 x - 9}

Solution steps

\frac{d}{d x} (x^{2} 8 x - 9)

Apply the Product Rule:

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

f = x^{2}, g = 8 x - 9

= \frac{d}{d x} (x^{2}) 8 x - 9 + \frac{d}{d x} (8 x - 9) x^{2}

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

\frac{d}{d x} (8 x - 9) = \frac{4}{8 x - 9}

= 2 x 8 x - 9 + \frac{4}{8 x - 9} x^{2}

Simplify

2 x 8 x - 9 + \frac{4}{8 x - 9} x^{2} : \frac{20 x ^{2} - 18 x}{8 x - 9}

= \frac{20 x ^{2} - 18 x}{8 x - 9}

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Frequently Asked Questions (FAQ)

What is the derivative of y=x^2sqrt(8x-9) ?
The derivative of y=x^2sqrt(8x-9) is (20x^2-18x)/(sqrt(8x-9))
What is the first derivative of y=x^2sqrt(8x-9) ?
The first derivative of y=x^2sqrt(8x-9) is (20x^2-18x)/(sqrt(8x-9))