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differentiate 4x^3 + 3x^2 -5x +1

when differentiating, we multiply the power by the coefficient and then take the power away by 1 so : y= 4x^3 + 3x^2 -5x +1 then 4 x 3= 12 and 3-1 = 2 meaning the solution is 12x^2. 2 x 3 = 6 and 2-1 = 1 giv...
JR
Answered by James R. • Maths tutor
5178 Views

Use logarithms to solve the equation 2^(5x) = 3^(2x+1) , giving the answer correct to 3 significant figures

Taking the log of both sides we get 5x * ln2 = (2x+1) * ln3. Taking everything that contains x to the left side: x * (5 ln2 - 2 ln3) = ln3. Therefore x=ln3/(5 ln2 - 2 ln3) x is approx 0.866
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Answered by Beatrice B. • Maths tutor
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(6x+4)/(2x- 2) + 3 = 4 solve for x

divide fraction by 2 3x+2 / x-1 + 3 = 4 multiply by x-1 3x + 2 + 3x - 3 = 4x - 4 6x -1 = 4x -4 2x = -3 x= -3/2
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Answered by Arjun C. • Maths tutor
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How do you find the points of intersection of two curves?

This problem is a graphical representation of finding the solutions to a pair of simultaneous equations. In this example we will use the curves y=2x 2 , and y=x 2 +1. This is a very straightforward example, ...
JR
Answered by Jacob R. • Maths tutor
5048 Views

I'm struggling with quadratic equations

Quadratic equations can be tricky, to begin with, but once you get the hang of them they can become one of the best maths tools on offer to you. All quadratic equations with real roots can be solved with the...
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Answered by Ben W. • Maths tutor
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