Year 11 Differentiation Worksheets (GCSE) | Printable PDFs
Year 11 Differentiation worksheets for Year 11 Maths (Key Stage 4, GCSE). Students aged 15-16 learn differentiation as a way of finding the gradient (slope) of a curve at any point.
Year 11 students learn to differentiate simple powers such as x2, x3, x4. Additionally they learn to find the gradient of a curve at a specific point,
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Differentiation
Common Questions about Year 11 Differentiation
What does differentiation measure?
Differentiation measures the rate at which one quantity changes with respect to another and can be used to find gradients of curves.What is the power rule for differentiation?
To differentiate xⁿ, multiply by the power and reduce the power by one, giving nxⁿ⁻¹.Why is differentiation useful?
Differentiation is used to find gradients, rates of change, stationary points and to solve optimisation problems in mathematics and science.
Year 11 Differentiation Common Mistakes
Common Mistake 1
Students sometimes multiply by the power but forget to reduce the power by one. For example, differentiating x⁵ gives 5x⁴, not 5x⁵.Common Mistake 2
Students often forget that constants disappear when differentiated. For example, the derivative of 7 is 0, not 7.Common Mistake 3
Students may confuse the original function with its gradient function. Differentiating gives an expression for the gradient, not the y-value of the curve.
Differentiation Worksheets - Free Worksheets Above
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