What is the derivative of f(x)=x^8-9e^{3x} ?

The derivative of f(x)=x^8-9e^{3x} is 8x^7-27e^{3x}

What is the first derivative of f(x)=x^8-9e^{3x} ?

The first derivative of f(x)=x^8-9e^{3x} is 8x^7-27e^{3x}

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derivative of

f (x) = x^{8} - 9 e^{3 x}

8 x^{7} - 27 e^{3 x}

Solution steps

\frac{d}{d x} (x^{8} - 9 e^{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{8}) - \frac{d}{d x} (9 e^{3 x})

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} (9 e^{3 x}) = 27 e^{3 x}

= 8 x^{7} - 27 e^{3 x}

\int_{0}^{π} cos (t) d t

\frac{d}{d x} (2 x^{3} - 12 x^{2} + 18 x)

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\frac{d x}{d y} + 800 y = 400

\frac{d}{d x} ((x - 3) (x^{3} - 2))

What is the derivative of f(x)=x^8-9e^{3x} ?
The derivative of f(x)=x^8-9e^{3x} is 8x^7-27e^{3x}
What is the first derivative of f(x)=x^8-9e^{3x} ?
The first derivative of f(x)=x^8-9e^{3x} is 8x^7-27e^{3x}