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Beliebt Rechnen >

derivative of 1-sec^2(x)

Lösung

\frac{d}{d x} (1 - sec^{2} (x))

Lösung

- 2 tan (x) sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (1 - sec^{2} (x))

Vereinfache

1 - sec^{2} (x) : - tan^{2} (x)

= \frac{d}{d x} (- tan^{2} (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d x} (tan^{2} (x))

Wende die Kettenregel an:

2 tan (x) \frac{d}{d x} (tan (x))

= 2 tan (x) \frac{d}{d x} (tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= - 2 tan (x) sec^{2} (x)

Graph

Beliebte Beispiele

integral of 1/(5y)

\int \frac{1}{5 y} d y

y^{''}+y=0,y(pi/3)=0,y^'(pi/3)=8

y^{^{''}} + y = 0, y (\frac{π}{3}) = 0, y^{^{'}} (\frac{π}{3}) = 8

(\partial)/(\partial x)(3x+9x^{17})

\frac{\partial}{\partial x} (3 x + 9 x^{17})

integral of \sqrt[4]{x^3}+1

\int 4 x^{3} + 1 d x

integral of 1/(1-tan(x))

\int \frac{1}{1 - tan ( x )} d x