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}

x \to 0 lim ((1 + 4 x)^{\frac{1}{x}})

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 25 e^{- 2 x}

(- 2, - 1), (2, 4)

arctan (6 x^{2} - 1)

\int 8 x \cdot csc^{2} (4 x) d 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}