Simple
This is the name of the process used to find the slope of a curve at any point.
Differentiation
If y=3x-3+2x, find dy/dx.
-9x-4 + 2
Electricity consumption in a house is E(t)=50+5t2. Find the rate of change at t=4 hours.
40 Units
The derivative of a constant number is always this.
Zero
A water tank in Dubai fills at a rate modeled by V(t)=4t+10. Find dV/dt
4
A water bottle is filled at a steady rate. If the volume v in liters after tminutes is V(t)=2t+1, what is the slope of the graph at any time?
2 liters per minute.
The derivative of y = x-2 with respect to x is this.
-2x-3
Find dy/dx for y=x4−4x2+7
4x3 -8x
The temperature in Dubai changes during the day. If the temperature in °C at time t hours is T(t)=0.5t2+25, what does the derivative dT/dt represent?
The rate at which the temperature changes per hour.