What is the derivative of (x-5(5x+4)) ?

The derivative of (x-5(5x+4)) is 10x-21

What is the first derivative of (x-5(5x+4)) ?

The first derivative of (x-5(5x+4)) is 10x-21

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

10 x - 21

Solution steps

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

Apply the Product Rule:

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

f = x - 5, g = 5 x + 4

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

\frac{d}{d x} (x - 5) = 1

\frac{d}{d x} (5 x + 4) = 5

= 1 \cdot (5 x + 4) + 5 (x - 5)

Simplify

1 \cdot (5 x + 4) + 5 (x - 5) : 10 x - 21

= 10 x - 21

\frac{\partial}{\partial y} (x ln (x^{2} + y^{2}))

\int_{- 1}^{4} x - 3 x^{2} d x

(x e^{x^{2}})^{^{'}}

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

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

What is the derivative of (x-5(5x+4)) ?
The derivative of (x-5(5x+4)) is 10x-21
What is the first derivative of (x-5(5x+4)) ?
The first derivative of (x-5(5x+4)) is 10x-21