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Beliebt Rechnen >

derivative of sqrt(6+sec(pix^2))

Lösung

\frac{d}{d x} (6 + sec (π) x^{2})

Lösung

- \frac{x}{6 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (6 + sec (π) x^{2})

Wende die Kettenregel an:

\frac{1}{2 6 + sec ( π ) x ^{2}} \frac{d}{d x} (6 + sec (π) x^{2})

= \frac{1}{2 6 + sec ( π ) x ^{2}} \frac{d}{d x} (6 + sec (π) x^{2})

\frac{d}{d x} (6 + sec (π) x^{2}) = - 2 x

= \frac{1}{2 6 + sec ( π ) x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 6 + sec ( π ) x ^{2}} (- 2 x) : - \frac{x}{6 - x ^{2}}

= - \frac{x}{6 - x ^{2}}

Graph

Beliebte Beispiele

fläche sin(x),[0,pi]

a re a sin (x), [0, π]

integral of e^{cos(3t)}sin(3t)

\int e^{c o s (3 t)} sin (3 t) d t

limit as x approaches 1-of 3x^2-4x+4

x \to 1 - lim (3 x^{2} - 4 x + 4)

(dy)/(dx)=-((x+6))/(7y^2)

\frac{d y}{d x} = - \frac{( x + 6 )}{7 y ^{2}}

(dθ)/(dt)=40-2/5 (θ-15)

\frac{d θ}{d t} = 40 - \frac{2}{5} (θ - 15)