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Given y=(1+x^3)^0.5, find dy/dx.

In order to solve this question, we need to use the chain rule when differentiating. The chain rule formula is dy/dx= (dy/du) (du/dx). Let u=1+x 3 Differentiating with respect to x gives du/dx=3x 2 We now ha...
RM
Answered by Rebecca M. • Maths tutor
6319 Views

Solve the Simultaneous Equations -3X + 4Y=11 & X-2Y = -5 to find the values of X and Y

Simultaneous Equations are equations involving 2 or more unknowns that have the same value in each equation. The aim is to eliminate all but one unknown. This will then allow us to find the value of the non ...
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Answered by Emehakon U. • Maths tutor
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A price is decreased by 27% The new price is £1138.80 Work out the original price.

This can be solved by making an equation for the old price. Make the old price be equal to x. To find the new price the old price must be multiplied by the percentage of the old price that remains. To find t...
OG
Answered by Oliver G. • Maths tutor
4888 Views

N = 2a + b. a is a 2 digit square number, b is a 2 digit cube number. What is the smallest possible value of N?

First, the smallest values of a and b must be found and then substituted into the equation for N. To find a. A square number is a number that is the result of multiplying and number by itself . Eg 2 squared ...
OG
Answered by Oliver G. • Maths tutor
3856 Views

Work out the value of 125 to the power of -2/3.

We want to find 125 -2/3 . To do this, we will need to use lots of power rules that we have learnt. Firstly, when we put a power to another power, we multiply the two powers. For example, (2 3 ) 4 (2 to the ...
JR
Answered by Joe R. • Maths tutor
38107 Views