What is the derivative of 3x^4-7ln(x) ?

The derivative of 3x^4-7ln(x) is 12x^3-7/x

What is the first derivative of 3x^4-7ln(x) ?

The first derivative of 3x^4-7ln(x) is 12x^3-7/x

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derivative of

3 x^{4} - 7 ln (x)

12 x^{3} - \frac{7}{x}

Solution steps

\frac{d}{d x} (3 x^{4} - 7 ln (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (7 ln (x))

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

\frac{d}{d x} (7 ln (x)) = \frac{7}{x}

= 12 x^{3} - \frac{7}{x}

\int \frac{x ^{4} + 2 x ^{3} - 3}{x ^{3}} d x

\frac{1}{( 1 - x ) ^{2}}

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

\frac{d}{d x} (3 - 7 x - x^{2})

\int \frac{x ^{3}}{x ^{4} + 4} d x

What is the derivative of 3x^4-7ln(x) ?
The derivative of 3x^4-7ln(x) is 12x^3-7/x
What is the first derivative of 3x^4-7ln(x) ?
The first derivative of 3x^4-7ln(x) is 12x^3-7/x