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Popular >

derivative of y=x^2sqrt(2x-7)

Solution

derivative of

y = x^{2} 2 x - 7

Solution

\frac{5 x ^{2} - 14 x}{2 x - 7}

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

= 2 x 2 x - 7 + \frac{1}{2 x - 7} x^{2}

Simplify

2 x 2 x - 7 + \frac{1}{2 x - 7} x^{2} : \frac{5 x ^{2} - 14 x}{2 x - 7}

= \frac{5 x ^{2} - 14 x}{2 x - 7}

Popular Examples

integral of (2x^2+1)e^{(x^2)}

\int (2 x^{2} + 1) e^{(x^{2})} d x

x(dy)/(dx)= 1/(y^3)

x \frac{d y}{d x} = \frac{1}{y ^{3}}

q^{''}+2q^'+1/(0.25)q=50cos(sqrt(3)t)

q^{^{''}} + 2 q^{^{'}} + \frac{1}{0.25} q = 50 cos (3 t)

(\partial)/(\partial y)(xarctan(x+2y))

\frac{\partial}{\partial y} (x arctan (x + 2 y))

derivative of e^x-e^{-x}-2x derivative of

e^{x} - e^{- x} - 2 x

Frequently Asked Questions (FAQ)

What is the derivative of y=x^2sqrt(2x-7) ?
The derivative of y=x^2sqrt(2x-7) is (5x^2-14x)/(sqrt(2x-7))
What is the first derivative of y=x^2sqrt(2x-7) ?
The first derivative of y=x^2sqrt(2x-7) is (5x^2-14x)/(sqrt(2x-7))