Him what would the derivative graph of this look like? ...
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Split it up into intervals where the function can be represented with a single formula.
e.g for x in [0,1[, f(x) = 3
for x in [1,5[ , f(x) = (3/2)*(x-1) + 3
and so on.
You can calculate the derivatives for these pieces easily. Remember that at points like 1,5 or 7 the derivative doesn't exist.
Not the answer you are looking for? Search for more explanations.
for x in [1,5[ , f(x) = -(3/2)*(x-1) + 3
ohh okay thanks! And I'm guessing we do a similar thing if we're working backward? So, finding the integral graph instead?
I think I would just use the area definition of the integral, especially for a simple function like this.
BTW, we could have solved this by remembering that the derivative of a linear function is its slope and just 'reading off' the value from the graph.