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Beliebt Rechnen >

f^'(x)=3x-4,f(-1)= 13/2

Lösung

f^{^{'}} (x) = 3 x - 4, f (- 1) = \frac{13}{2}

Lösung

f (x) = \frac{3 x ^{2}}{2} - 4 x + 1

Schritte zur Lösung

f^{'} (x) = 3 x - 4

Wenn

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

dann

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

f (x) = \int 3 x - 4 d x

\int 3 x - 4 d x = \frac{3 x ^{2}}{2} - 4 x + c_{1}

f (x) = \frac{3 x ^{2}}{2} - 4 x + c_{1}

Wende die Anfangsbedingung an:

f (x) = \frac{3 x ^{2}}{2} - 4 x + 1

f (x) = \frac{3 x ^{2}}{2} - 4 x + 1

Graph

Beliebte Beispiele

integral of 1/(5-7x)

\int \frac{1}{5 - 7 x} d x

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

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

(\partial)/(\partial x)(2xy^2-2x^3y)

\frac{\partial}{\partial x} (2 x y^{2} - 2 x^{3} y)

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

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

derivative y=(x^2+1)/(2x^2-1)

d er i v a t i v e y = \frac{x ^{2} + 1}{2 x ^{2} - 1}