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Popular >

derivative of 6/5-6/5 e^{-20x}

Solution

\frac{d}{d x} (\frac{6}{5} - \frac{6}{5} e^{- 20 x})

Solution

24 e^{- 20 x}

Solution steps

\frac{d}{d x} (\frac{6}{5} - \frac{6}{5} e^{- 20 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{6}{5}) - \frac{d}{d x} (\frac{6}{5} e^{- 20 x})

\frac{d}{d x} (\frac{6}{5}) = 0

\frac{d}{d x} (\frac{6}{5} e^{- 20 x}) = - 24 e^{- 20 x}

= 0 - (- 24 e^{- 20 x})

Simplify

= 24 e^{- 20 x}

Popular Examples

derivative of x^2e^{-9x}

\frac{d}{d x} (x^{2} e^{- 9 x})

(\partial)/(\partial x)((100)/(x^2+y^2+3))

\frac{\partial}{\partial x} (\frac{100}{x ^{2} + y ^{2} + 3})

integral of ((5+e^x)^2)/(e^x)

\int \frac{( 5 + e ^{x} ) ^{2}}{e ^{x}} d x

sum from n=0 to infinity of (ln(n))/n

n = 0 \sum \infty \frac{ln ( n )}{n}

((16)/(x(4-x^2)))^'

(\frac{16}{x ( 4 - x ^{2} )})^{^{'}}

Frequently Asked Questions (FAQ)

What is the derivative of 6/5-6/5 e^{-20x} ?
The derivative of 6/5-6/5 e^{-20x} is 24e^{-20x}
What is the first derivative of 6/5-6/5 e^{-20x} ?
The first derivative of 6/5-6/5 e^{-20x} is 24e^{-20x}