derivative of 3^x+x^3

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(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

t an g e n t f (x) = csc^{2} (x), (\frac{π}{2}, 1)

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

s l o p e (- 2.7) (2.3)