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Beliebt Rechnen >

(tcos(t))^'

Lösung

(t cos (t))^{^{'}}

Lösung

cos (t) - t sin (t)

Schritte zur Lösung

(t cos (t))^{'}

Wende die Produktregel an:

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

f = t, g = cos (t)

= t^{^{'}} cos (t) + (cos (t))^{^{'}} t

t^{'} = 1

(cos (t))^{'} = - sin (t)

= 1 \cdot cos (t) + (- sin (t)) t

Vereinfache

= cos (t) - t sin (t)

Graph

Beliebte Beispiele

integral of (x-1)(x+2)(x-3)

\int (x - 1) (x + 2) (x - 3) d x

derivative f(x)=(4x)/(x^3+5)

d er i v a t i v e f (x) = \frac{4 x}{x ^{3} + 5}

integral of (80)/(64-x^2)

\int \frac{80}{64 - x ^{2}} d x

(\partial)/(\partial x)({f}(x,b,y)(ax+by))

\frac{\partial}{\partial x} (f (x, b, y) (a x + b y))

fläche 5x, 1/7 x,50-x^2

a re a 5 x, \frac{1}{7} x, 50 - x^{2}