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Popular >

derivative of (x^2+18(2x+15))

Solution

\frac{d}{d x} ((x^{2} + 18) (2 x + 15))

Solution

6 x^{2} + 30 x + 36

Solution steps

\frac{d}{d x} ((x^{2} + 18) (2 x + 15))

Apply the Product Rule:

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

f = x^{2} + 18, g = 2 x + 15

= \frac{d}{d x} (x^{2} + 18) (2 x + 15) + \frac{d}{d x} (2 x + 15) (x^{2} + 18)

\frac{d}{d x} (x^{2} + 18) = 2 x

\frac{d}{d x} (2 x + 15) = 2

= 2 x (2 x + 15) + 2 (x^{2} + 18)

Simplify

2 x (2 x + 15) + 2 (x^{2} + 18) : 6 x^{2} + 30 x + 36

= 6 x^{2} + 30 x + 36

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(\partial)/(\partial x)(x/(2*sqrt(2)))

\frac{\partial}{\partial x} (\frac{x}{2 \cdot 2})

1+y^2+2(t+1)y(dy)/(dt)=0,y(0)=1

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x \frac{d y}{d x} + (1 - 3 x) y = e^{5 x}

Frequently Asked Questions (FAQ)

What is the derivative of (x^2+18(2x+15)) ?
The derivative of (x^2+18(2x+15)) is 6x^2+30x+36
What is the first derivative of (x^2+18(2x+15)) ?
The first derivative of (x^2+18(2x+15)) is 6x^2+30x+36