implicit (dy)/(dx),x^2-y^3=6

Lösung

implizite ableitung

\frac{d y}{d x}, x^{2} - y^{3} = 6

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

Schritte zur Lösung

x^{2} - y^{3} = 6

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

2 x - 3 y^{2} \frac{d y}{d x} = 0

Isoliere

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

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

\int cos (x) + \frac{1}{3} sin (x) - \frac{1}{x ^{2}} d x

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

\int 5 x + sin (x) d x

d er i v a t i v e \frac{1}{c}

t an g e n t f (x) = tan (x) + x, at x = \frac{π}{4}