Exam 3: Differentiation

Find the slope of the curve at the indicated point. -A cubic salt crystal expands by accumulation on all sides. As it expands outward find the rate of change of its volume with respect to the length of an edge when the edge is $0.33 \mathrm {~mm}$ .

Find the derivative. - $y = 2 x ^ { 2 } + 10 x + 3 e ^ { x }$

Find the slope of the curve at the indicated point. -The velocity of water $\mathrm { ft } / \mathrm { s }$ at the point of discharge is given by $\mathrm { v } = 14.33 \sqrt { \mathrm { P } }$ , where $\mathrm { P }$ is the pressure lb/in 2 of the water at the point of discharge. Find the rate of change of the velocity with respect to pressure if the pressure is $30.00 \mathrm { lb } / \mathrm { in } ^ { 2 }$ .