What is the derivative of f(x)=10x+ln(10x) ?

The derivative of f(x)=10x+ln(10x) is 10+1/x

What is the first derivative of f(x)=10x+ln(10x) ?

The first derivative of f(x)=10x+ln(10x) is 10+1/x

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derivative of

f (x) = 10 x + ln (10 x)

10 + \frac{1}{x}

Solution steps

\frac{d}{d x} (10 x + ln (10 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x) + \frac{d}{d x} (ln (10 x))

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (ln (10 x)) = \frac{1}{x}

= 10 + \frac{1}{x}

y = x^{3} - 9 x, (3, 0)

f (x) = x - 5

x \to \infty lim (- \frac{3}{x})

y^{^{'}} + 3 (tan (3 x)) y = - 2 cos (3 x)

\int_{0}^{7} \frac{5 t}{( t - 8 ) ^{2}} d t

What is the derivative of f(x)=10x+ln(10x) ?
The derivative of f(x)=10x+ln(10x) is 10+1/x
What is the first derivative of f(x)=10x+ln(10x) ?
The first derivative of f(x)=10x+ln(10x) is 10+1/x