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How do I know when to use SOHCAHTOA and when to use the sine or cosine rule?

First, check whether the triangle in the question is a right angle. If it is then SOHCAHTOA is used every time. If not, count how many sides we know the length of and how many angles we know the value of. Th...
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Answered by Alice R. • Maths tutor
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How to integrate and differentiate ((3/x^2)+4x^5+3)

An easy way to integrade and differentiate simple equations is by bringing up all the denominators, in this case rewrite 3/x^2 into 3x^-2. Thus it will be easier to manipulate the powers. For Integration we ...
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Answered by Andreas G. • Maths tutor
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A function f is defined by f(x) = x^3 - 3x^2 + 1. i) Write down f'(x). ii) Hence find the co-ordinates of the stationary points of the curve y=f(x).

i) Using the power rule, f'(x) = 3x 2 - 6x ii) To find stationary points, set f'(x) to 0: 3x 2 - 6x = 0. 3x(x - 2) = 0. x = 0 or x = 2 So the co-ordinates are (0,f(0)) = (0, 1), and (2,f(2)) = (2,-3).
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Answered by Sam S. • Maths tutor
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What is 17 multiplied by 120?

Using the grid method, we know this is equal to (10 100) + (10 20) + (7 100) + (7 20) = 1000+200+700+140 = 2040
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Answered by Cam D. • Maths tutor
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How do I integrate and differentiate 1/(x^2)?

1/( x 2 ) can be written as x -2 We know that to differentiate you need to multiply by the value of the old power and minus 1 from it. This means dy/dx of y= x -2 is -2 x -3 =-2/(x 3 ) To integrate you add o...
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Answered by Judy G. • Maths tutor
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