I cannot understand solution of Problem 3(C) in Secants and Tangents Problem set for session 1 introduction of derivatives. Can anybody post explanation for that.
OCW Scholar - Single Variable Calculus
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!
Notice how the app shows you values for dy/dx and also Δy/Δx?
It's asking you to set x to 0.75 and play with the Δx slider to find all the Δx's that bring Δy/Δx and dy/dx within 0.1 units of each other. When x = 0.75 the app shows us that dy/dx is -0.16. So basically it is asking you to find all Δx's where Δy/Δx is between -0.06 and -0.26.
I've included an attached image where Δy/Δx is -0.06 (that is 0.1 exactly units away from dy/dx so that is within the 0.1 range). There are many more places where Δy/Δx is within 0.1 units. Think you can find the rest of them now? : )