What is the derivative of a^x+x^n ?

The derivative of a^x+x^n is a^xln(a)+nx^{n-1}

What is the first derivative of a^x+x^n ?

The first derivative of a^x+x^n is a^xln(a)+nx^{n-1}

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\frac{d}{d x} (a^{x} + x^{n})

a^{x} ln (a) + n x^{n - 1}

Solution steps

\frac{d}{d x} (a^{x} + x^{n})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a^{x}) + \frac{d}{d x} (x^{n})

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

\frac{d}{d x} (x^{n}) = n x^{n - 1}

= a^{x} ln (a) + n x^{n - 1}

\frac{\partial}{\partial x} (6 x e^{x y})

\frac{\partial}{\partial x} (15 x^{2} + y^{2})

\int 2 y (- y + 2) d y

\frac{d}{d x} (ln (x + 1) - x + 1)

What is the derivative of a^x+x^n ?
The derivative of a^x+x^n is a^xln(a)+nx^{n-1}
What is the first derivative of a^x+x^n ?
The first derivative of a^x+x^n is a^xln(a)+nx^{n-1}