What is the derivative of 6x^5+4e^x ?

The derivative of 6x^5+4e^x is 30x^4+4e^x

What is the first derivative of 6x^5+4e^x ?

The first derivative of 6x^5+4e^x is 30x^4+4e^x

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derivative of

6 x^{5} + 4 e^{x}

30 x^{4} + 4 e^{x}

Solution steps

\frac{d}{d x} (6 x^{5} + 4 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{5}) + \frac{d}{d x} (4 e^{x})

\frac{d}{d x} (6 x^{5}) = 30 x^{4}

\frac{d}{d x} (4 e^{x}) = 4 e^{x}

= 30 x^{4} + 4 e^{x}

What is the derivative of 6x^5+4e^x ?
The derivative of 6x^5+4e^x is 30x^4+4e^x
What is the first derivative of 6x^5+4e^x ?
The first derivative of 6x^5+4e^x is 30x^4+4e^x