derivative y=(x+3)^2-(x-2)^2

Lösung

ableitung von

y = (x + 3)^{2} - (x - 2)^{2}

10

Schritte zur Lösung

\frac{d}{d x} ((x + 3)^{2} - (x - 2)^{2})

Vereinfache

(x + 3)^{2} - (x - 2)^{2} : 10 x + 5

= \frac{d}{d x} (10 x + 5)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (10 x) + \frac{d}{d x} (5)

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (5) = 0

= 10 + 0

Vereinfache

= 10

\int \frac{t ^{2}}{( t ^{2} - 9 ) ^{\frac{5}{2}}} d t

h \to 0 lim (\frac{sin ( \frac{π}{3} + h ) - sin ( \frac{π}{3} )}{h})

y^{^{''}} + y = cos^{2} (t), y (0) = 0, y^{^{'}} (0) = 0

\int e^{c o s (2 x)} sin (x) cos (x) d x

(t^{2} + x^{2}) d t + (2 t x - x) d x = 0