What is the derivative of 1(-5x+3(-3x+2)) ?

The derivative of 1(-5x+3(-3x+2)) is 30x-19

What is the first derivative of 1(-5x+3(-3x+2)) ?

The first derivative of 1(-5x+3(-3x+2)) is 30x-19

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\frac{d}{d x} (1 (- 5 x + 3) (- 3 x + 2))

30 x - 19

Solution steps

\frac{d}{d x} (1 \cdot (- 5 x + 3) (- 3 x + 2))

Simplify

1 \cdot (- 5 x + 3) (- 3 x + 2) : (- 5 x + 3) (- 3 x + 2)

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

Apply the Product Rule:

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

f = - 5 x + 3, g = - 3 x + 2

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

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

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

= (- 5) (- 3 x + 2) + (- 3) (- 5 x + 3)

Simplify

(- 5) (- 3 x + 2) + (- 3) (- 5 x + 3) : 30 x - 19

= 30 x - 19

\int \frac{( e ^{x} )}{e ^{x} + 1} d x

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

\int \frac{1}{ln ( x )} d x

\int \frac{y + 1}{y - 1} d y

y^{^{''}} - 5 y^{^{'}} = x - 2

What is the derivative of 1(-5x+3(-3x+2)) ?
The derivative of 1(-5x+3(-3x+2)) is 30x-19
What is the first derivative of 1(-5x+3(-3x+2)) ?
The first derivative of 1(-5x+3(-3x+2)) is 30x-19