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Popular >

derivative of (3x-5)(x^2+4)

Solution

derivative of

(3 x - 5) (x^{2} + 4)

Solution

9 x^{2} - 10 x + 12

Solution steps

\frac{d}{d x} ((3 x - 5) (x^{2} + 4))

Apply the Product Rule:

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

f = 3 x - 5, g = x^{2} + 4

= \frac{d}{d x} (3 x - 5) (x^{2} + 4) + \frac{d}{d x} (x^{2} + 4) (3 x - 5)

\frac{d}{d x} (3 x - 5) = 3

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

= 3 (x^{2} + 4) + 2 x (3 x - 5)

Simplify

3 (x^{2} + 4) + 2 x (3 x - 5) : 9 x^{2} - 10 x + 12

= 9 x^{2} - 10 x + 12

Popular Examples

integral of (7x+14)/(x^2+5x-6)

\int \frac{7 x + 14}{x ^{2} + 5 x - 6} d x

integral of 1/(3x^2-2x+4)

\int \frac{1}{3 x ^{2} - 2 x + 4} d x

y^{''}+y=sec(t)tan(t)

y^{^{''}} + y = sec (t) tan (t)

area 2-x^2,x,-2,1 area

2 - x^{2}, x, - 2, 1

sum from n=1 to infinity of (n!)/(n!+1)

n = 1 \sum \infty \frac{n !}{n ! + 1}

Frequently Asked Questions (FAQ)

What is the derivative of (3x-5)(x^2+4) ?
The derivative of (3x-5)(x^2+4) is 9x^2-10x+12
What is the first derivative of (3x-5)(x^2+4) ?
The first derivative of (3x-5)(x^2+4) is 9x^2-10x+12