If s(t) denotes the position function of an object moving in a straight line, then the
velocity v(t) of the object at time t is given by
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v(t)=s'(t).
The (instantaneous) rate of change of f(x) at the point where
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, x=a is f'(a).
To approximate the change in a function, we can use the formula
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f(a+h) − f(a) ≈ f'(a)⋅h
Power Rule
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d/dx[x^n]=nx^(n-1)
All of these problems can be solved with the:
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Difference Rule
velocity v(t) of the object at time t is given by
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v(t)=s'(t).
The (instantaneous) rate of change of f(x) at the point where
Give this one a try later!
, x=a is f'(a).
To approximate the change in a function, we can use the formula
Give this one a try later!
f(a+h) − f(a) ≈ f'(a)⋅h
Power Rule
Give this one a try later!
d/dx[x^n]=nx^(n-1)
All of these problems can be solved with the:
Give this one a try later!
Difference Rule
