What is the derivative of (x+5)(7sqrt(x)+3) ?

The derivative of (x+5)(7sqrt(x)+3) is (21x+35)/(2sqrt(x))+3

What is the first derivative of (x+5)(7sqrt(x)+3) ?

The first derivative of (x+5)(7sqrt(x)+3) is (21x+35)/(2sqrt(x))+3

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derivative of

(x + 5) (7 x + 3)

\frac{21 x + 35}{2 x} + 3

Solution steps

\frac{d}{d x} ((x + 5) (7 x + 3))

Apply the Product Rule:

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

f = x + 5, g = 7 x + 3

= \frac{d}{d x} (x + 5) (7 x + 3) + \frac{d}{d x} (7 x + 3) (x + 5)

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

\frac{d}{d x} (7 x + 3) = \frac{7}{2 x}

= 1 \cdot (7 x + 3) + \frac{7}{2 x} (x + 5)

Simplify

1 \cdot (7 x + 3) + \frac{7}{2 x} (x + 5) : \frac{21 x + 35}{2 x} + 3

= \frac{21 x + 35}{2 x} + 3

y^{^{'}} - y = t

\frac{d}{d x} (x^{2} e^{x^{3}})

\frac{\partial}{\partial x} (ln (\frac{x}{3}))

n = 1 \sum \infty n^{2} e^{- n}

x \to 2 lim (\frac{x + 3}{x + 6})

What is the derivative of (x+5)(7sqrt(x)+3) ?
The derivative of (x+5)(7sqrt(x)+3) is (21x+35)/(2sqrt(x))+3
What is the first derivative of (x+5)(7sqrt(x)+3) ?
The first derivative of (x+5)(7sqrt(x)+3) is (21x+35)/(2sqrt(x))+3