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If the two graphs intersect, it means that they will share the same y and x coordinates at one particular point. (I will draw diagram to show point).
Therefore, you can set f(x)=g(x) so that x^2 -...
You can split the derivative into 2 parts: dx/dy (x^2*e^x) + dx/dy (x)
For the first part you have to use the product rule, so let U=x^2 V=e^x U'=2x V'=Chain rule
V'=dx/dy(e^x)dx/dy(x)...
The first thing we want to do is re-write the curve f(x) in a format in which we can read and easily plot a graph. If we can include the '3x' in the factorised part of the equation, it will be neater and ...
In order to find the gradient of the curve at (1,1), we must first differentiate the equation of the curve. To do this, multiply the coefficient of x by the power of that same x. Then subtract one from th...
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