Graphs of f and f' - AP Calculus BC
Card 0 of 2
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point 
if we know that 
?
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point 
if we know that 
?
We are told about a first derivative and asked to consider the original function. Recall that anywhere the first derivative is negative, the original function is decreasing. Anywhere the first derivative is positive, the original function is increasing.
We are told that 
. In other words, the first derivative is positive.
This means our original function must be increasing.
f(x) is increasing when 
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point
We are told about a first derivative and asked to consider the original function. Recall that anywhere the first derivative is negative, the original function is decreasing. Anywhere the first derivative is positive, the original function is increasing.
We are told that
This means our original function must be increasing.
f(x) is increasing when
Compare your answer with the correct one above
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point if we know that ?
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point if we know that ?
We are told about a first derivative and asked to consider the original function. Recall that anywhere the first derivative is negative, the original function is decreasing. Anywhere the first derivative is positive, the original function is increasing.
We are told that . In other words, the first derivative is positive.
This means our original function must be increasing.
f(x) is increasing when
Assuming f(x) is continuous and differentiable for all values of x, what can be said about its graph at the point
We are told about a first derivative and asked to consider the original function. Recall that anywhere the first derivative is negative, the original function is decreasing. Anywhere the first derivative is positive, the original function is increasing.
We are told that
This means our original function must be increasing.
f(x) is increasing when
Compare your answer with the correct one above