What is the derivative of f(x)=(x-6)(2x+1) ?

The derivative of f(x)=(x-6)(2x+1) is 4x-11

What is the first derivative of f(x)=(x-6)(2x+1) ?

The first derivative of f(x)=(x-6)(2x+1) is 4x-11

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derivative of

f (x) = (x - 6) (2 x + 1)

4 x - 11

Solution steps

\frac{d}{d x} ((x - 6) (2 x + 1))

Apply the Product Rule:

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

f = x - 6, g = 2 x + 1

= \frac{d}{d x} (x - 6) (2 x + 1) + \frac{d}{d x} (2 x + 1) (x - 6)

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

\frac{d}{d x} (2 x + 1) = 2

= 1 \cdot (2 x + 1) + 2 (x - 6)

Simplify

1 \cdot (2 x + 1) + 2 (x - 6) : 4 x - 11

= 4 x - 11

f (x) = 2 + cos (x), at x = \frac{π}{2}

\frac{d}{d x} (\frac{- 9}{x ^{2} + 81})

\frac{\partial}{\partial x} (x^{2} e^{- x})

\int \frac{1}{y ^{4} + 1} d y

\int_{- 2}^{2} y^{2} - 2 d y

What is the derivative of f(x)=(x-6)(2x+1) ?
The derivative of f(x)=(x-6)(2x+1) is 4x-11
What is the first derivative of f(x)=(x-6)(2x+1) ?
The first derivative of f(x)=(x-6)(2x+1) is 4x-11