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Beliebt Rechnen >

derivative h(g^'(x))

Lösung

ableitung von

h (x) (g^{^{'}} (x))

Lösung

h' (x) g' (x) + g'' (x) h (x)

Schritte zur Lösung

(h (x) g^{'} (x))^{'}

Wende die Produktregel an:

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

f = h (x), g = g^{'} (x)

= h^{^{'}} (x) g^{^{'}} (x) + g^{^{''}} (x) h (x)

= h^{^{'}} (x) g^{^{'}} (x) + g^{^{''}} (x) h (x)

Beliebte Beispiele

fläche y= 4/x ,y=16x,y= 1/16 x

a re a y = \frac{4}{x}, y = 16 x, y = \frac{1}{16} x

derivative y=3xln(x)

d er i v a t i v e y = 3 x ln (x)

(\partial)/(\partial x)((2x-2y)/(2x+2y))

\frac{\partial}{\partial x} (\frac{2 x - 2 y}{2 x + 2 y})

tangent f(x)= 9/x ,\at x=2

t an g e n t f (x) = \frac{9}{x}, at x = 2

integral from 1 to 5 of x^2

\int_{1}^{5} x^{2} d x