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Beliebt Rechnen >

derivative of tan(xdx)

Lösung

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

Lösung

d (x sec^{2} (x) + tan (x))

Schritte zur Lösung

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

Behandle

d

als Konstante

Entferne die Konstante:

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

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = tan (x), g = x

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

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

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

= d (sec^{2} (x) x + 1 \cdot tan (x))

Vereinfache

= d (x sec^{2} (x) + tan (x))

Graph

Beliebte Beispiele

integral of e^{(2x)/5}

\int e^{\frac{2 x}{5}} d x

taylor 1/(1-x),20

t a y l or \frac{1}{1 - x}, 20

integral of 6xy

\int 6 x y d x

implicit (dy)/(dx),(4x+4y)3=64x^3+64y^3

im pl i c i t \frac{d y}{d x}, (4 x + 4 y) 3 = 64 x^{3} + 64 y^{3}

tangent f(x)=-3-5x^2,\at x=3

t an g e n t f (x) = - 3 - 5 x^{2}, at x = 3