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Popular >

derivative of (8x+7(x^2-3x))

Solution

\frac{d}{d x} ((8 x + 7) (x^{2} - 3 x))

Solution

24 x^{2} - 34 x - 21

Solution steps

\frac{d}{d x} ((8 x + 7) (x^{2} - 3 x))

Apply the Product Rule:

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

f = 8 x + 7, g = x^{2} - 3 x

= \frac{d}{d x} (8 x + 7) (x^{2} - 3 x) + \frac{d}{d x} (x^{2} - 3 x) (8 x + 7)

\frac{d}{d x} (8 x + 7) = 8

\frac{d}{d x} (x^{2} - 3 x) = 2 x - 3

= 8 (x^{2} - 3 x) + (2 x - 3) (8 x + 7)

Simplify

8 (x^{2} - 3 x) + (2 x - 3) (8 x + 7) : 24 x^{2} - 34 x - 21

= 24 x^{2} - 34 x - 21

Popular Examples

derivative of sin(2pi(1-x))

\frac{d}{d x} (sin (2 π (1 - x)))

integral of (cos(t))/(7+sin(t))

\int \frac{cos ( t )}{7 + sin ( t )} d t

area y=x^2+10x+25,y=7x+35 area

y = x^{2} + 10 x + 25, y = 7 x + 35

integral of 1/((1+x)(1-x))

\int \frac{1}{( 1 + x ) ( 1 - x )} d x

derivative of 1/(x-9)derivative of

\frac{1}{x - 9}

Frequently Asked Questions (FAQ)

What is the derivative of (8x+7(x^2-3x)) ?
The derivative of (8x+7(x^2-3x)) is 24x^2-34x-21
What is the first derivative of (8x+7(x^2-3x)) ?
The first derivative of (8x+7(x^2-3x)) is 24x^2-34x-21