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

The derivative of f(x)=(sqrt(x))(3x-2) is (9x-2)/(2sqrt(x))

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

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

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derivative of

f (x) = (x) (3 x - 2)

\frac{9 x - 2}{2 x}

Solution steps

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

Apply the Product Rule:

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

f = x, g = 3 x - 2

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

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

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

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

Simplify

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

= \frac{9 x - 2}{2 x}

\frac{d y}{d t} = 3 y + y^{6}, y (0) = 1

sin (t - 2 π)

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

\int 22 d x

y^{^{''}} - y^{^{'}} - 72 y = 0

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