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Differentiate y=sin(x)*x^2.

Using the chain rule, we let u = sin(x) and v = x^2. Then dy/dx = udv/dx + vdu/dx. dv/dx = 2x and du/dx = cos(x). So dy/dx = sin(x)2x + x^2cos(x).

LM
Answered by Lucy M. Maths tutor
4179 Views

What was the greatest threat to Britain's position as a world power in the years 1874-1901?

  1. OVERSEAS COMPETITION - Russia (1874-1885) - balance of power in Balkans and Med., threatening India and British trade dominance in China Germany (1885-1905) - threatened British colonial dominance i...
AB
Answered by Athavan B. History tutor
7075 Views

discuss the strengths and weaknesses of Kant's Deontological ethics, how well does it work as a theory?

Outline very briefly who Kant was, he was a german philosopher who argued that morality was a matter of absolute rules, rules that admit no exceptions and appeal not to religious considerations but reason...

CR
46546 Views

How to find the derivative of arctan(x)

Let y = arctan(x). Then x = tan(y).

Differentiate using the chain rule and rearrange: d(x)/dx = d(tany)/dx So 1 = sec^2(y) * dy/dx dy/dx = 1/sec^2(y)

But from identity sin^2(y) + cos^2(y) = ...

MR
Answered by Matthew R. Maths tutor
14261 Views

What are some ways to learn noun genders in Spanish?

As all Spanish nouns are classified as either masculine and feminine, I have found several ways of learning how to easily remember and be able to recognise the gender of a noun when I see it written down ...

HT
Answered by Henry T. Spanish tutor
2929 Views

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