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Popular >

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

Solution

derivative of

(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

Popular Examples

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\int tan^{3} (x) sec^{7} (x) d x

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\int 7 x^{3} x d x

sum from n=0 to infinity of (5x-3)^n

n = 0 \sum \infty (5 x - 3)^{n}

tangent of y=ln(sqrt(3-2x)),\at x=-3 tangent of

y = ln (3 - 2 x), at x = - 3

integral of ln(x+3)

\int ln (x + 3) 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