I have a question more than a problem to answer. I'm having a difficult time recognizing when to use the product rule and when to use the chain rule. How do you recognize when to use each, especially when you have to use both in the same problem. Problems like y+x4...
The quotient rule can be used for differentiation when taking the derivative of a function divided by another function. Gain a better understanding of when to use the quotient rule and explore some examples in this lesson. Updated: 07/31/2024 ...
Differentiation in calculus: The given equation is consisting of three variables x,y,z and we need to find out dz dt so we'll apply implicit differentiation with respect to t and use the derivative power rule d dx(xn)=nxn−1 . Next we'll take al...
In summary, the equation √ab = √a ×√b represents the product rule of square roots, stating that the square root of the product of two numbers is equal to the product of the square roots of each individual number. This rule is always true for any positive values of...
doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year papers, NEET previous year papers, NCERT books for classes 6 to 12, CBSE, Pathfinder Publications, RD Sharma, RS...
Answer to: When MR and MC cross at two places, the profit-maximizing output level is the one at which the MC curve crosses the MR curve from above...
Moments after I arrived, the Principal addressed my Calculus teacher via the P.A. system, “Is Jimm in your class?” “Yes, he is” “Could you send him down to the office, please?” I’m sure I marched down there with the biggest ready-to-brawl grin, ever. This was just the ...
I do know more physics and more calculus than most of my students did. But they still had plenty to teach me. A child’s voice would have been helpful on that day cold day in January. “Daddy, why are they doing to the count-down when the engineers say not to?” No matter how ...
My calculus students spent semesters memorizing algebra and they still don’t know the basics it until they actually use them to do something. Their memory is generally pretty faulty and you have to keep reminding them as you go that, in fact, (a+b)^2 is not the same as a^2 + b^...
This music truly engages a calculus of internal explosions which gleefully blows your head off. What appears to be linear becomes a-linear. What appears be circular and discordant becomes vividly melodic, then soon dissipates?or reforms, gets combobulated [sic], only to restart its strange ...