# Rate of Change of a Function - Page 2

Questions

- A ladder is leaning against a wall, and the floor and slipping. If the bottom of the ladder is slipping at #30 cms^(-1)# then how fast is the top of the ladder sliding down the wall when the ladder is at #45^o#?
- The voltage of a certain thermocouple as a function of the temperature is given by E = 2.800T + 0.006#(T∧2)#. If the temperature is increasing at the rate of 1.00°C/min,how fast is the voltage increasing when T=100°C?
- If the rate of change of x is 2 unit #s^-1#, Find the rate of change of y in #y=3/((2x-3)^3# when x=2?
- What is the rate of change?
- How do you find the derivative of the function #R=3W^(2*pi)# at #W=7#?
- A particle moves along the curve y = 3x^2 + 1 in such a way that the y value is increasing at the rate of 3 units per second. At what rate is x changing when x = 2?
- Write your question here... The radius of a circular disc is increasing at the rate of 0.5 cm/sec. Ar what rate is the area of the disc increasing when its radius is 6cm?
- Find the derivative of the function?
- A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall?
- The radius of a sphere is increasing at the rate of 2 m/sec. find the rate of change of the volume with respect to time when radius is 4m?
- How to differentiate this function to find f'(7)?
- Sand is falling off a conveyor onto a conical pile, whose altitude is always the same as its radius. If the height of the pile is increasing at a rate of 6 ft/min, what is the rate at which the pile is increasing when it is 10 feet high?
- In calculus, it is known that the rate of change of the function f(x) = tan x is sec2 x.......?
- What is the derivative of f(x)=3x^7×tan(2x)+4?
- Function f(x)=(x^3)(e^x) is strictly increasing on the interval of?
- The population of a culture of cells after t days is approximated by #P(t)=(1600)/(1+7e^(-0.02t))# when t ≥ 0 ?
- What is the relative rate of change?
- Find f(x+h)-f(x)/h for the given function? f(x)=5x^2-6x+4
- Help Please! A radioactive substance decaying so that after t years, the amount remaining, expressed as a percent of the original amount is a(t) = 100(1.1)^-t. determine the function, a', which represents the rate of decay of the substance.?
- The radius of a circular plate increase at a rate of 0.01 cm/s when the radius is 12 cm.Find the rate at which area is increaseing?