Soit la fonction définie pour tout réel \( \times \) par : \( f(x)=3 x^{3}-x+10 \) Calculer le taux de variation de \( f \) entre -2 et 2 . Entrez votre réponse : Taux de variation =

Sol. Solve same as Q. No. 40 (a). Q. 41. Find all asymptotes of the curve \( x^{3}+y^{3}=3 \) axy. \[ \text { (Bhopal 1991, } 2000 \]

Determine the area bounded by the functions \( y = \sin(x) \) and \( y = \cos(x) \) within the interval \( [0, \frac{\pi}{2}] \).

\( \frac{d}{d x}\left(x^{3}+20 x+21\right) \) is (i) \( 3 x^{3}+20 \) (ii) \( 3 x^{2} \) (iii) 0 (iv) None of These

Calculate the area enclosed between the lines \( y = 2x + 3 \) and \( y = x^2 \).

Calculate the area bounded by the curves \( y = \sin(x) \) and \( y = \cos(x) \) over the interval \([0, \frac{\pi}{4}]\).