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what is differentiation for?

When differentiating you find the gradient of the function/line, this means how fast does the function goes up or down.

Answered by Richard B. • Maths tutor

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A particle is moving along a straight line. The fixed point O lies on this line. The displacement of the particle from O at time t seconds is s metres where s = 2t3 – 12t2 + 7t(a) Find an expression for the velocity, v m/s, of the particle at time t.

What is the equation of the straight line perpendicular to the midpoint of the straight line that passes through (0,5) and (-4,7)?

How can I sketch a graph?

Differentiate the following: 2x^2 + 3x -2

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