What is the derivative of e^x-6x^5 ?

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

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

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

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derivative of

e^{x} - 6 x^{5}

e^{x} - 30 x^{4}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int (3 x^{2} - 4)^{2} x^{3} d x

\frac{\partial}{\partial y} (e^{x})

\frac{\partial}{\partial x} (5 y - 2 x)

30 \frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} = 0

x \to 0 lim (\frac{x + x ^{2}}{∣ x ∣})

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