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Beliebt Rechnen >

derivative of ysinh(x^2)

Lösung

\frac{d}{d x} (y sinh (x^{2}))

Lösung

\frac{d y}{d x} sinh (x^{2}) + cosh (x^{2}) \cdot 2 x y

Schritte zur Lösung

\frac{d}{d x} (y sinh (x^{2}))

Wende die Produktregel an:

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

f = y, g = sinh (x^{2})

= \frac{d y}{d x} sinh (x^{2}) + \frac{d}{d x} (sinh (x^{2})) y

\frac{d}{d x} (sinh (x^{2})) = cosh (x^{2}) \cdot 2 x

= \frac{d y}{d x} sinh (x^{2}) + cosh (x^{2}) \cdot 2 x y

Beliebte Beispiele

derivative of log_{2}(x^{2x})

\frac{d}{d x} (lo g_{2} (x^{2 x}))

sum from n=0 to infinity of n(-1)^n

n = 0 \sum \infty n (- 1)^{n}

(\partial)/(\partial u)(u*v)

\frac{\partial}{\partial u} (u \cdot v)

y^{''}+4y^'+5y=0

y^{^{''}} + 4 y^{^{'}} + 5 y = 0

derivative y=1.73sin(33pix)

d er i v a t i v e y = 1.73 sin (33 π x)