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This is a self-checking practice created for students to find the first and second derivatives of common and composite functions. The functions include polynomials, rational fractions, radicals, trig and inverse trig expressions, exponential expressions and natural logarithmic functions.

In each section, students have to differentiate once or twice a function given and then to prove that this function satisfies a given differential equation. Thus, students check whether they have computed the derivatives correctly. (There are sections 12 in total - 12 functions and 12 differential equations).

The resource can be used for class work, independent practice or partner activity, for enrichment and homework assignment.

Typed solutions to the problems are provided.

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