What is the derivative of 10t^{6/5}+6e^3 ?

The derivative of 10t^{6/5}+6e^3 is 12t^{1/5}

What is the first derivative of 10t^{6/5}+6e^3 ?

The first derivative of 10t^{6/5}+6e^3 is 12t^{1/5}

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derivative of

10 t^{\frac{6}{5}} + 6 e^{3}

12 t^{\frac{1}{5}}

Solution steps

\frac{d}{d t} (10 t^{\frac{6}{5}} + 6 e^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (10 t^{\frac{6}{5}}) + \frac{d}{d t} (6 e^{3})

\frac{d}{d t} (10 t^{\frac{6}{5}}) = 12 t^{\frac{1}{5}}

\frac{d}{d t} (6 e^{3}) = 0

= 12 t^{\frac{1}{5}} + 0

Simplify

= 12 t^{\frac{1}{5}}

\frac{d y}{d x} = y + 8

\frac{d}{d x} (x^{\frac{1}{3}} (x + 8))

\frac{\partial}{\partial z} (x yz + x y^{2} + y z^{2} + z x^{2})

\frac{10}{s + 10}

What is the derivative of 10t^{6/5}+6e^3 ?
The derivative of 10t^{6/5}+6e^3 is 12t^{1/5}
What is the first derivative of 10t^{6/5}+6e^3 ?
The first derivative of 10t^{6/5}+6e^3 is 12t^{1/5}