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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)*h'(x) + ...
JS
Answered by Jason S. • Maths tutor
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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 bl...
IH
6409 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: an analysis of techniques of language, struct...
BW
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The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve

Integrate this = (3x^3)/3 + (3x^2)/2 + c So y = x^3 + (3x^2)/2 + c Using point (0,0), 0 = 0 + 0 + c so c = 0. Full equation of the curve is therefore x^3 + (3x^2)/2
LT
Answered by Laura T. • Maths tutor
6505 Views

Simplify fully: (5 +√7)/ (2+√7)

Can show working on a whiteboard.
TA
Answered by Tony A. • Maths tutor
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