What is the derivative of y=sqrt(x)(x-14) ?

The derivative of y=sqrt(x)(x-14) is (3x-14)/(2sqrt(x))

What is the first derivative of y=sqrt(x)(x-14) ?

The first derivative of y=sqrt(x)(x-14) is (3x-14)/(2sqrt(x))

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derivative of

y = x (x - 14)

\frac{3 x - 14}{2 x}

Solution steps

\frac{d}{d x} (x (x - 14))

Apply the Product Rule:

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

f = x, g = x - 14

= \frac{d}{d x} (x) (x - 14) + \frac{d}{d x} (x - 14) x

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

\frac{d}{d x} (x - 14) = 1

= \frac{1}{2 x} (x - 14) + 1 \cdot x

Simplify

\frac{1}{2 x} (x - 14) + 1 \cdot x : \frac{3 x - 14}{2 x}

= \frac{3 x - 14}{2 x}

\int_{2 y^{2} + 2 z^{2}}^{2} x d x

\frac{1}{1 - x ^{2}} \frac{d y}{d x} + \frac{1}{1 - x} y = e^{- \frac{1}{2} x^{2}}

\int x (2 + x x)^{5} d x

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

e^{- x}, 5

What is the derivative of y=sqrt(x)(x-14) ?
The derivative of y=sqrt(x)(x-14) is (3x-14)/(2sqrt(x))
What is the first derivative of y=sqrt(x)(x-14) ?
The first derivative of y=sqrt(x)(x-14) is (3x-14)/(2sqrt(x))