What is the derivative of x(x-5^2) ?

The derivative of x(x-5^2) is 3x^2-20x+25

What is the first derivative of x(x-5^2) ?

The first derivative of x(x-5^2) is 3x^2-20x+25

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\frac{d}{d x} (x (x - 5)^{2})

3 x^{2} - 20 x + 25

Solution steps

\frac{d}{d x} (x (x - 5)^{2})

Apply the Product Rule:

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

f = x, g = (x - 5)^{2}

= \frac{d x}{d x} (x - 5)^{2} + \frac{d}{d x} ((x - 5)^{2}) x

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

\frac{d}{d x} ((x - 5)^{2}) = 2 (x - 5)

= 1 \cdot (x - 5)^{2} + 2 (x - 5) x

Simplify

1 \cdot (x - 5)^{2} + 2 (x - 5) x : 3 x^{2} - 20 x + 25

= 3 x^{2} - 20 x + 25

\frac{\partial}{\partial y} (- \frac{1}{x - y})

\int \frac{1}{2} d x

\int 3 e^{x} + 5 cos (x) d x

\frac{\partial}{\partial y} (x z + e^{- x^{2} + y})

k = 4 \sum \infty \frac{1}{( k + 3 ) ^{4}}

What is the derivative of x(x-5^2) ?
The derivative of x(x-5^2) is 3x^2-20x+25
What is the first derivative of x(x-5^2) ?
The first derivative of x(x-5^2) is 3x^2-20x+25