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Popular >

derivative of x^{6/5}+e^{-3x}

Solution

derivative of

x^{\frac{6}{5}} + e^{- 3 x}

Solution

\frac{6 x ^{\frac{1}{5}}}{5} - 3 e^{- 3 x}

Solution steps

\frac{d}{d x} (x^{\frac{6}{5}} + e^{- 3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{6}{5}}) + \frac{d}{d x} (e^{- 3 x})

\frac{d}{d x} (x^{\frac{6}{5}}) = \frac{6 x ^{\frac{1}{5}}}{5}

\frac{d}{d x} (e^{- 3 x}) = - 3 e^{- 3 x}

= \frac{6 x ^{\frac{1}{5}}}{5} - 3 e^{- 3 x}

Popular Examples

integral of 1/(x^2+3x+2)

\int \frac{1}{x ^{2} + 3 x + 2} d x

limit as x approaches 2 of (x^2-1)/(x-2)

x \to 2 lim (\frac{x ^{2} - 1}{x - 2})

integral of 4sin^4(xco)s^2x

\int 4 sin^{4} (x co) s^{2} x d x

derivative of y=sec(tan(x))tan(sec(x))derivative of

y = sec (tan (x)) tan (sec (x))

area y^2=x,x+y=2 area

y^{2} = x, x + y = 2

Frequently Asked Questions (FAQ)

What is the derivative of x^{6/5}+e^{-3x} ?
The derivative of x^{6/5}+e^{-3x} is (6x^{1/5})/5-3e^{-3x}
What is the first derivative of x^{6/5}+e^{-3x} ?
The first derivative of x^{6/5}+e^{-3x} is (6x^{1/5})/5-3e^{-3x}