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Popular >

derivative of (x-5(x+4)(x+5))

Solution

\frac{d}{d x} ((x - 5) (x + 4) (x + 5))

Solution

3 x^{2} + 8 x - 25

Solution steps

\frac{d}{d x} ((x - 5) (x + 4) (x + 5))

Apply the Product Rule:

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

f = x - 5, g = (x + 4) (x + 5)

= \frac{d}{d x} (x - 5) (x + 4) (x + 5) + \frac{d}{d x} ((x + 4) (x + 5)) (x - 5)

\frac{d}{d x} (x - 5) = 1

\frac{d}{d x} ((x + 4) (x + 5)) = 2 x + 9

= 1 \cdot (x + 4) (x + 5) + (2 x + 9) (x - 5)

Simplify

1 \cdot (x + 4) (x + 5) + (2 x + 9) (x - 5) : 3 x^{2} + 8 x - 25

= 3 x^{2} + 8 x - 25

Graph

Popular Examples

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integral of 2/x-4e^x

\int \frac{2}{x} - 4 e^{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of (x-5(x+4)(x+5)) ?
The derivative of (x-5(x+4)(x+5)) is 3x^2+8x-25
What is the first derivative of (x-5(x+4)(x+5)) ?
The first derivative of (x-5(x+4)(x+5)) is 3x^2+8x-25