derivative f(x)=x^5+5^x

Lösung

ableitung von

f (x) = x^{5} + 5^{x}

5 x^{4} + 5^{x} ln (5)

Schritte zur Lösung

\frac{d}{d x} (x^{5} + 5^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{5}) + \frac{d}{d x} (5^{x})

\frac{d}{d x} (x^{5}) = 5 x^{4}

\frac{d}{d x} (5^{x}) = 5^{x} ln (5)

= 5 x^{4} + 5^{x} ln (5)

d er i v a t i v e f (x) = - 4 6 x^{2} - 5 x + 10

x \to 0 lim (3 - x)

\frac{\partial}{\partial θ} (a cos (θ))

\frac{\partial}{\partial x} (5 x^{2} y + 6 x y^{3})

y^{^{'}} = 9 y^{2} sin (x)