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Beliebt Rechnen >

derivative e^{1+x^2}+3x^4

Lösung

ableitung von

e^{1 + x^{2}} + 3 x^{4}

Lösung

e^{1 + x^{2}} \cdot 2 x + 12 x^{3}

Schritte zur Lösung

\frac{d}{d x} (e^{1 + x^{2}} + 3 x^{4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{1 + x^{2}}) + \frac{d}{d x} (3 x^{4})

\frac{d}{d x} (e^{1 + x^{2}}) = e^{1 + x^{2}} \cdot 2 x

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

= e^{1 + x^{2}} \cdot 2 x + 12 x^{3}

Graph

Beliebte Beispiele

integral of (cos(2x))/(sin^7(2x))

\int \frac{cos ( 2 x )}{sin ^{7} ( 2 x )} d x

(dy)/(dx)=x^3-2y

\frac{d y}{d x} = x^{3} - 2 y

tangent y=3+4x^2-2x^3,(1,5)

t an g e n t y = 3 + 4 x^{2} - 2 x^{3}, (1, 5)

derivative of 7sec^2(7x)

\frac{d}{d x} (7 sec^{2} (7 x))

derivative of x^{5/x}

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