What is the derivative of (2x-5)(sqrt(x)+4) ?

The derivative of (2x-5)(sqrt(x)+4) is (6x-5)/(2sqrt(x))+8

What is the first derivative of (2x-5)(sqrt(x)+4) ?

The first derivative of (2x-5)(sqrt(x)+4) is (6x-5)/(2sqrt(x))+8

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derivative of

(2 x - 5) (x + 4)

\frac{6 x - 5}{2 x} + 8

Solution steps

\frac{d}{d x} ((2 x - 5) (x + 4))

Apply the Product Rule:

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

f = 2 x - 5, g = x + 4

= \frac{d}{d x} (2 x - 5) (x + 4) + \frac{d}{d x} (x + 4) (2 x - 5)

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

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

= 2 (x + 4) + \frac{1}{2 x} (2 x - 5)

Simplify

2 (x + 4) + \frac{1}{2 x} (2 x - 5) : \frac{6 x - 5}{2 x} + 8

= \frac{6 x - 5}{2 x} + 8

\int 9 - t^{2} d t

\int cos (3 x) - sin (x) d x

x = y^{2} - 36, x = 36 - y^{2}

\frac{d}{d x} (6 ln (4 x))

\int \frac{8}{x} d x

What is the derivative of (2x-5)(sqrt(x)+4) ?
The derivative of (2x-5)(sqrt(x)+4) is (6x-5)/(2sqrt(x))+8
What is the first derivative of (2x-5)(sqrt(x)+4) ?
The first derivative of (2x-5)(sqrt(x)+4) is (6x-5)/(2sqrt(x))+8