What is the derivative of x^{1/4}-4e^x ?

The derivative of x^{1/4}-4e^x is 1/(4x^{3/4)}-4e^x

What is the first derivative of x^{1/4}-4e^x ?

The first derivative of x^{1/4}-4e^x is 1/(4x^{3/4)}-4e^x

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\frac{d}{d x} (x^{\frac{1}{4}} - 4 e^{x})

\frac{1}{4 x ^{\frac{3}{4}}} - 4 e^{x}

Solution steps

\frac{d}{d x} (x^{\frac{1}{4}} - 4 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{1}{4}}) - \frac{d}{d x} (4 e^{x})

\frac{d}{d x} (x^{\frac{1}{4}}) = \frac{1}{4 x ^{\frac{3}{4}}}

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

= \frac{1}{4 x ^{\frac{3}{4}}} - 4 e^{x}

What is the derivative of x^{1/4}-4e^x ?
The derivative of x^{1/4}-4e^x is 1/(4x^{3/4)}-4e^x
What is the first derivative of x^{1/4}-4e^x ?
The first derivative of x^{1/4}-4e^x is 1/(4x^{3/4)}-4e^x