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Find the derivative with respect to x, of 5cos(x)+ 4sin(x)

f(x) = 5cos(x) + 4sin(x)to find f , (x) this is just another notation for the derivative.To differentiate trigonometry I always use this one simple trick which I will show on the white board better sin cos -...
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Answered by Ryan P. • Maths tutor
4785 Views

Solve the inequality x^2 - 9 > 0

This is a quadratic inequality, because we have an x 2 term, so we answer this question by examining the graph of the associated equation y = x 2 - 9, and then find out where this graph is greater than 0.So ...
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Answered by Rose H. • Maths tutor
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Given that 7/9 = 0.77777777 (recurring) convert 0.27777777(recurring) into a fraction. Give your answer in the simplest form.

if 7/9 = 0.777777 then 0.0777777 must be equal to 7/90 as it is a tenth of the original number. 0.2= (2/10)(7/90) + (2/10) = 0.27777777 find the lowest common multiple: 90, then make the denominators of each...
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Answered by Nial K. • Maths tutor
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Solve algebraically the simultaneous equations x2 +y2 =25 and y – 3x = 13

Firstly, let's begin by rearranging the second equation so that we can get y on its own. Therefore we will get, y = 3x +13. Through substitution, we can do this:x 2 + (3x +13) 2 = 25 . (As y is equal to 3x +...
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Answered by Tasmin M. • Maths tutor
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Find the x coordinate of the stationary points of the curve with equation y = 2x^3 - 0.5x^2 - 2x + 4

Firstly, to find the stationary points of a curve you must differentiate the equation of the curve. To do this each x component is multiplied by its current power and then the power is decreased by one. Any ...
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Answered by Bartosz S. • Maths tutor
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