True or false. if false, correct statement. if true, explain why. a. if a function, f, is continuous at a point c, then f is differentiable at the point c. b. if a function is concave down on its domain, then it will have a relative maximum. c. The derivative of a sum is the sum of its derivatives. d. the derivative of a function, f(x), is equal to limh->0 (f(x+h)-f(x))/h for all x values in the domain e. if f has an absolute minimum at c, then f'(c)=0
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
True or false. if false, correct statement. if true, explain why.
a. if a function, f, is continuous at a point c, then f is
b. if a function is concave down on its domain, then it will have a
c. The derivative of a sum is the sum of its derivatives.
d. the derivative of a function, f(x), is equal to limh->0 (f(x+h)-f(x))/h for all x values in the domain
e. if f has an absolute minimum at c, then f'(c)=0
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