What is the derivative of f(x)=x^{(7)}-3e^{(3x)} ?

The derivative of f(x)=x^{(7)}-3e^{(3x)} is 7x^6-9e^{3x}

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

The first derivative of f(x)=x^{(7)}-3e^{(3x)} is 7x^6-9e^{3x}

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derivative of

f (x) = x^{(7)} - 3 e^{(3 x)}

7 x^{6} - 9 e^{3 x}

Solution steps

\frac{d}{d x} (x^{7} - 3 e^{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{7}) - \frac{d}{d x} (3 e^{3 x})

\frac{d}{d x} (x^{7}) = 7 x^{6}

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

= 7 x^{6} - 9 e^{3 x}

What is the derivative of f(x)=x^{(7)}-3e^{(3x)} ?
The derivative of f(x)=x^{(7)}-3e^{(3x)} is 7x^6-9e^{3x}
What is the first derivative of f(x)=x^{(7)}-3e^{(3x)} ?
The first derivative of f(x)=x^{(7)}-3e^{(3x)} is 7x^6-9e^{3x}