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Basic differentiation

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Differentiate a power
Differentiate $f(x)=x^5$ .
Question 11 markAlgebraicNot attempted
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Differentiate a sum of powers
Differentiate $y=3x^4-2x^2+7$ .
Question 22 marksAlgebraicNot attempted
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Evaluate a derivative
For $f(x)=x^3+2x$ , find $f'(2)$ .
Question 32 marksNumericalNot attempted
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Find gradient at a point
The curve has equation $y=2x^3-x^2$ . Find the gradient of the curve when $x=1$ .
Question 43 marksNumericalNot attempted
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Tangent gradient
Find the gradient of the tangent to $y=x^4-3x$ at $x=2$ .
Question 53 marksNumericalNot attempted
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Stationary point condition
For $y=x^2-6x+4$ , find the $x$ -coordinate of the stationary point.
Question 63 marksNumericalNot attempted
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Exam-style tangent problem
The curve $y=x^3-4x+1$ has a tangent at the point where $x=2$ . Find the gradient of this tangent.
Question 73 marksNumericalNot attempted
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Exam-style stationary point
A curve has equation $y=x^3-12x+5$ . Find the positive $x$ -coordinate of a stationary point.
Question 84 marksNumericalNot attempted
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