What is the derivative of f(x)=5x^2-6x+6+ln(x) ?

The derivative of f(x)=5x^2-6x+6+ln(x) is 10x+1/x-6

What is the first derivative of f(x)=5x^2-6x+6+ln(x) ?

The first derivative of f(x)=5x^2-6x+6+ln(x) is 10x+1/x-6

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derivative of

f (x) = 5 x^{2} - 6 x + 6 + ln (x)

10 x + \frac{1}{x} - 6

Solution steps

\frac{d}{d x} (5 x^{2} - 6 x + 6 + ln (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (6) + \frac{d}{d x} (ln (x))

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

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (6) = 0

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

= 10 x - 6 + 0 + \frac{1}{x}

Simplify

= 10 x + \frac{1}{x} - 6

What is the derivative of f(x)=5x^2-6x+6+ln(x) ?
The derivative of f(x)=5x^2-6x+6+ln(x) is 10x+1/x-6
What is the first derivative of f(x)=5x^2-6x+6+ln(x) ?
The first derivative of f(x)=5x^2-6x+6+ln(x) is 10x+1/x-6