What is the derivative of 3^x+x^3 ?

The derivative of 3^x+x^3 is 3^xln(3)+3x^2

What is the first derivative of 3^x+x^3 ?

The first derivative of 3^x+x^3 is 3^xln(3)+3x^2

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\frac{d}{d x} (3^{x} + x^{3})

3^{x} ln (3) + 3 x^{2}

Solution steps

\frac{d}{d x} (3^{x} + x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3^{x}) + \frac{d}{d x} (x^{3})

\frac{d}{d x} (3^{x}) = 3^{x} ln (3)

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

= 3^{x} ln (3) + 3 x^{2}

\int \frac{( 5 x ^{(2)} )}{( 2 x ^{(3)} + 1 )} d x

\int_{e}^{\infty} x^{e} ln (x) d x

f (x) = csc^{2} (x), (\frac{π}{2}, 1)

\int \frac{1}{( x ^{2} + 16 ) ^{2}} d x

(- 2.7) (2.3)

What is the derivative of 3^x+x^3 ?
The derivative of 3^x+x^3 is 3^xln(3)+3x^2
What is the first derivative of 3^x+x^3 ?
The first derivative of 3^x+x^3 is 3^xln(3)+3x^2