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

The derivative of (2x+5(x+1)) is 4x+7

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

The first derivative of (2x+5(x+1)) is 4x+7

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

4 x + 7

Solution steps

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

Apply the Product Rule:

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

f = 2 x + 5, g = x + 1

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

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

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

= 2 (x + 1) + 1 \cdot (2 x + 5)

Simplify

2 (x + 1) + 1 \cdot (2 x + 5) : 4 x + 7

= 4 x + 7

\frac{d}{d x} (\frac{4 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}})

y + y^{^{'}} = sin (t)

t^{9} cos (t)

h \to + 0 lim (\frac{∣ h ∣}{h})

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

What is the derivative of (2x+5(x+1)) ?
The derivative of (2x+5(x+1)) is 4x+7
What is the first derivative of (2x+5(x+1)) ?
The first derivative of (2x+5(x+1)) is 4x+7