How to find gradient of functions

To find the gradient of a function, that has constant gradient you pick any two points. You label both the x and y co-ordinates of these two points.Then you subtract the y co-ordinates of these two points. You also subtract the x co-ordinates of the two points. The you divide the y value you have calculated with the x value to find the gradient.To find the gradient of a function that does not have constant gradient, i.e. a curve. You have to use differentiation. In order to differentiate a function, you must first make sure the equation is in the form y=. Then you multiply the power of any variable by the constant in front of it. Then you reduce the power by 1 on the variable. Any constant differentiate to 0.For example, y=3^x2+ 2dy/dx= 6x dy/xy is the same concept used at GCSE it is just difference in y divided by difference in x.

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Answered by Sinan H. Maths tutor

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