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Finding equations to normals - differentiation
1 -simplify and differentiate
2-find gradient to tangent but subbing x value in coordinates into the x
3-neg recip = gradient of normal
4- sub coordinates
Finding stationary points on a graph
To find stationary points, set the derivative equal to zero and solve for the x-values. Then find corresponding y-values by substituting the x-values back into the original function.
Finding minimum and maximum values on a graph
To find minimum and maximum values, analyze the derivative: locate stationary points by setting the derivative to zero, determine the second derivative to test concavity, and evaluate the function at these points.
How to find coordinates when dy/dx = 0
To find coordinates when dy/dx = 0, identify the x-values where the derivative is zero (stationary points). Then, substitute these x-values back into the original function to find the corresponding y-values.
Finding the equation of a tangent
By finding your gradient by subbing the x value and then y=mx+c
