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Popular >

derivative of g(t)=2log_{5}(t)

Solution

derivative of

g (t) = 2 lo g_{5} (t)

Solution

\frac{2}{ln ( 5 ) t}

Solution steps

\frac{d}{d t} (2 lo g_{5} (t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d t} (lo g_{5} (t))

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= 2 \cdot \frac{1}{t ln ( 5 )}

Simplify

2 \cdot \frac{1}{t ln ( 5 )} : \frac{2}{ln ( 5 ) t}

= \frac{2}{ln ( 5 ) t}

Popular Examples

integral from 0 to 1 of 2/(sqrt(4-x^2))

\int_{0}^{1} \frac{2}{4 - x ^{2}} d x

integral of tan(2x)sec^2(x)

\int tan (2 x) sec^{2} (x) d x

(\partial)/(\partial x)(x^{0.25}y^{0.25})

\frac{\partial}{\partial x} (x^{0.25} y^{0.25})

integral of ((4x^{19}-5x^{-8})/(x^2))

\int (\frac{4 x ^{19} - 5 x ^{- 8}}{x ^{2}}) d x

(dy)/(dx)=((y^3)/(x^2))

\frac{d y}{d x} = (\frac{y ^{3}}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of g(t)=2log_{5}(t) ?
The derivative of g(t)=2log_{5}(t) is 2/(ln(5)t)
What is the first derivative of g(t)=2log_{5}(t) ?
The first derivative of g(t)=2log_{5}(t) is 2/(ln(5)t)