Answer:
linear functions change a constant rate. i.e. the slope of the graph is constant.
d/dx (mx+b) = m
quadratic functions change at a linear rate, slower than the function itself.
The slope of the tangent to the graph is proportional to the x coordinate.
d/dx (ax^2) = 2ax
Slope of tangent to ax^2 at point (x,ax^2) is 2ax.
Exponential functions change at the same rate as the function itself. The slope of the tangent to the graph is proportional to the y coordinate.
The slope of tangent at point (x,exp(x)) is exp(x).
Definition of exp(x) is just exp(0) = 1 and d/dx exp(x) = exp(x).
d/dx exp(ax) = a exp(ax) is not part of the definition, but follows from from the chain rule
Step-by-step explanation:
Answer:
12 tablespoons
Step-by-step explanation:
because 3/4 of 16 tablespoons is 12
Answer:
17.5m
Step-by-step explanation:
958.2 minus 23.9= 934.3
934.3 minus 951.8= - 17.5
the negative doesnt matter so you can take that away so the answer is 17.5
Answer:
<6,7>
Step-by-step explanation:
u is the vector <5,1>
v is the vector < 1,6>
Add the corresponding components
< 5,1> + <1,6> = <5+1, 1+6> = <6,7>