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Popular >

derivative of f(x)=(x-6)(3x+5)

Solution

derivative of

f (x) = (x - 6) (3 x + 5)

Solution

6 x - 13

Solution steps

\frac{d}{d x} ((x - 6) (3 x + 5))

Apply the Product Rule:

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

f = x - 6, g = 3 x + 5

= \frac{d}{d x} (x - 6) (3 x + 5) + \frac{d}{d x} (3 x + 5) (x - 6)

\frac{d}{d x} (x - 6) = 1

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

= 1 \cdot (3 x + 5) + 3 (x - 6)

Simplify

1 \cdot (3 x + 5) + 3 (x - 6) : 6 x - 13

= 6 x - 13

Popular Examples

derivative of e^{2sqrt(x)}

\frac{d}{d x} (e^{2 x})

derivative of (x^3-3x^2+1^{-3})

\frac{d}{d x} ((x^{3} - 3 x^{2} + 1)^{- 3})

tangent of x^3-9x^2+10x,\at =-2 tangent of

x^{3} - 9 x^{2} + 10 x, at = - 2

sum from n=0 to infinity of (x^n)/(n3^n)

n = 0 \sum \infty \frac{x ^{n}}{n 3 ^{n}}

derivative of (e^x/(2-tan(x)))

\frac{d}{d x} (\frac{e ^{x}}{2 - tan ( x )})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x-6)(3x+5) ?
The derivative of f(x)=(x-6)(3x+5) is 6x-13
What is the first derivative of f(x)=(x-6)(3x+5) ?
The first derivative of f(x)=(x-6)(3x+5) is 6x-13