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Derivatives
Derivatives Questions
How do you estimate the instantaneous rate of change in population in 2010 if a city's population (tens of thousands) is modeled by the function #p(t) = 1.2(1.05)^t# where t is number of years since 2000?
What is the equation of the normal line of #f(x)=(x+5)/(e^x-1)# at #x=1#?
How do you find the derivative of #f(x)=3(x^(−2))# using the limit definition?
What is the line tangent to the graph of #x=y^2+5# at the point (5,1)?
How do you estimate the instantaneous rate of change of the function #f(x)=xlnx# at #x=1# and at #x=2#?
How do you determine the values of x at which #sqrt(x^2 + 9)# is differentiable?
What is Lebniz Notation for the second derivative of #y=f(x)# ?
Assume La(x) is the line that is tangent to the graph of y = f(x) = x ^2 at (a, f(a)). Let Aa be the point at which La(x) intersects the line x = 0. Find the equation for La(x) for each a ∈ R. Compute the distance between the points Ax and (x, f(x)).Use
How do you find the average rate of change for the function #f(x) = 3x - 2# on the indicated intervals [2,3]?
What is the equation of the line tangent to # f(x)=-(x-3)^2-5x-3# at # x=5#?
What is the equation of the line normal to #f(x)=2 tan(pix -2)# at #x=2#?
How do you find the derivative of #f(x)=3x+2# using the limit process?
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