derivative of (a+b-5x^2+(b+c-7)x+(a+c))

Lösung

\frac{d}{d x} ((a + b - 5) x^{2} + (b + c - 7) x + (a + c))

2 x (a + b - 5) + b + c - 7

Schritte zur Lösung

\frac{d}{d x} ((a + b - 5) x^{2} + (b + c - 7) x + (a + c))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} ((a + b - 5) x^{2}) + \frac{d}{d x} ((b + c - 7) x) + \frac{d a}{d x} + \frac{d c}{d x}

\frac{d}{d x} ((a + b - 5) x^{2}) = 2 x (a + b - 5)

\frac{d}{d x} ((b + c - 7) x) = b + c - 7

\frac{d a}{d x} = 0

\frac{d c}{d x} = 0

= 2 x (a + b - 5) + b + c - 7 + 0 + 0

Vereinfache

= 2 x (a + b - 5) + b + c - 7

t an g e n t f (x) = x + \frac{3}{x}, at x = 3

s l o p e (- 5.6) (- 2.5)

d er i v a t i v e \frac{2}{7}

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

\int \frac{x - 1}{2 x} d x