What is the derivative of x^{12}-12e^x ?

The derivative of x^{12}-12e^x is 12x^{11}-12e^x

What is the first derivative of x^{12}-12e^x ?

The first derivative of x^{12}-12e^x is 12x^{11}-12e^x

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\frac{d}{d x} (x^{12} - 12 e^{x})

12 x^{11} - 12 e^{x}

Solution steps

\frac{d}{d x} (x^{12} - 12 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{12}) - \frac{d}{d x} (12 e^{x})

\frac{d}{d x} (x^{12}) = 12 x^{11}

\frac{d}{d x} (12 e^{x}) = 12 e^{x}

= 12 x^{11} - 12 e^{x}

f (x) = e^{- 1}

f (x) = x^{8}

\int sin (- 4 x) cos (3 x) d x

\frac{\partial}{\partial y} (e^{x} (x - y)^{2})

\int (cos (x) + 3^{x}) d x

What is the derivative of x^{12}-12e^x ?
The derivative of x^{12}-12e^x is 12x^{11}-12e^x
What is the first derivative of x^{12}-12e^x ?
The first derivative of x^{12}-12e^x is 12x^{11}-12e^x