Calculus Solutions Ex#2.3

  Q 01-08 Find $\frac{d y}{d x}$.     Q.01 $$ y=4 x^{7} $$ Solution: $$ y=4 x^{7} —-(1)$$ Power rule: $$ \frac{d}{d x}\left[x^{r}\right]=r x^{r-1} \text { where } r \text { in any real number } $$ differentiating (1) w.r.t $x$ $$ \therefore \quad \frac{d y}{d x}=\frac{d}{d x}\left[4 x^{7}\right]=4 \frac{d}{d x}\left[x^{7}\right]=4\left[7 \cdot x^{7-1}\right]=28 x^{6} … Read more