What is the derivative of 1-3log_{5}(x) ?

The derivative of 1-3log_{5}(x) is -3/(ln(5)x)

What is the first derivative of 1-3log_{5}(x) ?

The first derivative of 1-3log_{5}(x) is -3/(ln(5)x)

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derivative of

1 - 3 lo g_{5} (x)

- \frac{3}{ln ( 5 ) x}

Solution steps

\frac{d}{d x} (1 - 3 lo g_{5} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (3 lo g_{5} (x))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (3 lo g_{5} (x)) = \frac{3}{ln ( 5 ) x}

= 0 - \frac{3}{ln ( 5 ) x}

Simplify

= - \frac{3}{ln ( 5 ) x}

(2 x e^{x + 3} + e^{x + 3} x^{2})^{^{'}}

\frac{d ^{4}}{d x ^{4}} (7 e^{x^{2}})

y^{^{'}} + 5 x^{- 1} y = x^{6}

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

ln (7 - x^{2})

What is the derivative of 1-3log_{5}(x) ?
The derivative of 1-3log_{5}(x) is -3/(ln(5)x)
What is the first derivative of 1-3log_{5}(x) ?
The first derivative of 1-3log_{5}(x) is -3/(ln(5)x)