Find the coordinates of the maximum stationary point of the y = x^2 +4x curve.

Differentiate equation of the line. This first differential is made to equal zero. Find the value of x and substitute this value into the original equation of the line to find the y value.

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Perhaps an introduction to integration with a simple integral, e.g. the integral of x^2


A curve has the equation: x^4 + 2x -xy - y^3 - 10=0. Find dy/dx in terms of x and y.


Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.


Find dy/dx for y=x^2 * sin(x)