derivative of f(x)=3x^2-5x+2

Lösung

\frac{d}{d x} f (x) = 3 x^{2} - 5 x + 2

f (x) = x^{3} - \frac{5 x ^{2}}{2} + 2 x + c_{1}

Schritte zur Lösung

\frac{df}{d x} = 3 x^{2} - 5 x + 2

Wenn

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

dann

f (x) = \int g (x) d x

f (x) = \int 3 x^{2} - 5 x + 2 d x

\int 3 x^{2} - 5 x + 2 d x = x^{3} - \frac{5 x ^{2}}{2} + 2 x + c_{1}

f (x) = x^{3} - \frac{5 x ^{2}}{2} + 2 x + c_{1}

im pl i c i t \frac{d y}{d x}, x^{5} y + 5 x y^{5} = x + y

x \to 2 + lim (cos (x - 2))

\int y e^{y^{2}} d y

x y^{^{'}} - 2 y = x^{2}

\int_{0}^{3} \frac{1}{( 1 - x ) ^{2}} d x