What is the derivative of y=x(x-10) ?

The derivative of y=x(x-10) is 2x-10

What is the first derivative of y=x(x-10) ?

The first derivative of y=x(x-10) is 2x-10

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derivative of

y = x (x - 10)

2 x - 10

Solution steps

\frac{d}{d x} (x (x - 10))

Apply the Product Rule:

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

f = x, g = x - 10

= \frac{d x}{d x} (x - 10) + \frac{d}{d x} (x - 10) x

\frac{d x}{d x} = 1

\frac{d}{d x} (x - 10) = 1

= 1 \cdot (x - 10) + 1 \cdot x

Simplify

1 \cdot (x - 10) + 1 \cdot x : 2 x - 10

= 2 x - 10

y = x^{4} + 2 e^{x} (0.2)

\int_{0}^{1} 1 - x^{2} d x

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

\int \frac{k}{k - x} d x

\frac{d y}{d x} = \frac{x - 4}{y + 6}

What is the derivative of y=x(x-10) ?
The derivative of y=x(x-10) is 2x-10
What is the first derivative of y=x(x-10) ?
The first derivative of y=x(x-10) is 2x-10