There are **16** NRICH Mathematical resources connected to **Differentiation**, you may find related items under Calculus.

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What is the quickest route across a ploughed field when your speed around the edge is greater?

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Draw graphs of the sine and modulus functions and explain the humps.

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This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

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Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.

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How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

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Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

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Put your complex numbers and calculus to the test with this impedance calculation.

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Look at the calculus behind the simple act of a car going over a step.

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Can you hit the target functions using a set of input functions and a little calculus and algebra?

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What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

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Can you match the charts of these functions to the charts of their integrals?

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A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

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Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

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What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?

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Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.