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

The derivative of f(x)=(2sqrt(x)-5)(3x+1) is (9x+1)/(sqrt(x))-15

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

The first derivative of f(x)=(2sqrt(x)-5)(3x+1) is (9x+1)/(sqrt(x))-15

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derivative of

f (x) = (2 x - 5) (3 x + 1)

\frac{9 x + 1}{x} - 15

Solution steps

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

Apply the Product Rule:

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

f = 2 x - 5, g = 3 x + 1

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

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

\frac{d}{d x} (3 x + 1) = 3

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

Simplify

\frac{1}{x} (3 x + 1) + 3 (2 x - 5) : \frac{9 x + 1}{x} - 15

= \frac{9 x + 1}{x} - 15

y^{^{'}} = \frac{x y ^{3}}{1 + x ^{2}}, y (0) = 1

\frac{\partial}{\partial x} (\frac{( 3 x - 4 y )}{- x + 6 y})

- \frac{x}{9 y}

(8, 1), (0, - 3)

x \to - \infty lim (\frac{1}{- x})

What is the derivative of f(x)=(2sqrt(x)-5)(3x+1) ?
The derivative of f(x)=(2sqrt(x)-5)(3x+1) is (9x+1)/(sqrt(x))-15
What is the first derivative of f(x)=(2sqrt(x)-5)(3x+1) ?
The first derivative of f(x)=(2sqrt(x)-5)(3x+1) is (9x+1)/(sqrt(x))-15