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Beliebt Rechnen >

implicit (dy)/(dx),y=ln(x)

Lösung

implizite ableitung

\frac{d y}{d x}, y = ln (x)

Lösung

\frac{d y}{d x} = \frac{1}{x}

Schritte zur Lösung

y = ln (x)

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

\frac{d y}{d x} = \frac{1}{x}

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1}{x}

\frac{d y}{d x} = \frac{1}{x}

Beliebte Beispiele

(d^2)/(dx^2)((x^2+2)^7)

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

limit as x approaches-1-of 3/(x+1)

x \to - 1 - lim (\frac{3}{x + 1})

f^'(x)= 5/(6x^5)

f^{^{'}} (x) = \frac{5}{6 x ^{5}}

integral of (sin(x)+cos(x))/(tan(x))

\int \frac{sin ( x ) + cos ( x )}{tan ( x )} d x

integral of 6x^5e^{8x^6}

\int 6 x^{5} e^{8 x^{6}} d x