What is the derivative of 3x^4-5x^2+2sqrt(3x) ?

The derivative of 3x^4-5x^2+2sqrt(3x) is 12x^3-10x+sqrt(3/x)

What is the first derivative of 3x^4-5x^2+2sqrt(3x) ?

The first derivative of 3x^4-5x^2+2sqrt(3x) is 12x^3-10x+sqrt(3/x)

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\frac{d}{d x} (3 x^{4} - 5 x^{2} + 2 3 x)

12 x^{3} - 10 x + \frac{3}{x}

Solution steps

\frac{d}{d x} (3 x^{4} - 5 x^{2} + 2 3 x)

Simplify

3 x^{4} - 5 x^{2} + 2 3 x : 3 x^{4} - 5 x^{2} + 23 x

= \frac{d}{d x} (3 x^{4} - 5 x^{2} + 23 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (23 x)

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (23 x) = \frac{3}{x}

= 12 x^{3} - 10 x + \frac{3}{x}

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

\int a x d x

\frac{d}{d x} (sec (x^{3}))

\int x \cdot e^{- a \cdot x} d x

What is the derivative of 3x^4-5x^2+2sqrt(3x) ?
The derivative of 3x^4-5x^2+2sqrt(3x) is 12x^3-10x+sqrt(3/x)
What is the first derivative of 3x^4-5x^2+2sqrt(3x) ?
The first derivative of 3x^4-5x^2+2sqrt(3x) is 12x^3-10x+sqrt(3/x)