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Given the function f(x) = (x^2)sin(x), find f'(x).

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule.

The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x...

JS
Answered by Jason S. Maths tutor
10519 Views

A round cake is shared between Abi, Elvira and Tina. The angle cut at the centre of the cake for each piece is that person’s age multiplied by 10. Abi 9 years old and Elvira is 14 years old. How old is Tina?

The cake is in the shape of a circle. How many degrees in a circle?

Abi is 9 years old so the angle of her slice is 9 x 10 = 90°, Elvera is 14 years old so her angle is 14 x 10 = 140°. Total angle ...

VS
Answered by Varun S. Maths tutor
3058 Views

What is the enhanced greenhouse effect?

The enhanced greenhouse effect is the stronger impact caused by human emissions of greenhouse gases. Greenhouse gases include carbon dioxide, methane and water vapour and are often produced by burning fos...

IH
16104 Views

What is eutrophication and what are its effects?

Eutrophication occurs when excess nutrients, like nitrates and phosphates, enter a body of water. These excess nutrients cause an increase in plant and algal growth in the water, often leading to an algal...

IH
5991 Views

What are the secrets to the A* grade?

The difference between the A* and lower grades in A-Level English - and the following is true for both the exam and coursework - is the ability to do two things:

  1. an analysis of techniques...

BW
4242 Views

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