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Basic differentiation
Foundations · 3 questions
- Question 11 markNot attemptedAlgebraic question
Differentiate a power
Differentiate f(x)=x^5 .
- Question 22 marksNot attemptedAlgebraic question
Differentiate a sum of powers
Differentiate y=3x^4-2x^2+7 .
- Question 32 marksNot attemptedNumerical question
Evaluate a derivative
For f(x)=x^3+2x , find f'(2) .
Basic differentiation
Applications · 3 questions
- Question 43 marksNot attemptedNumerical question
Find gradient at a point
The curve has equation y=2x^3-x^2 . Find the gradient of the curve when…
- Question 53 marksNot attemptedNumerical question
Tangent gradient
Find the gradient of the tangent to y=x^4-3x at x=2 .
- Question 63 marksNot attemptedNumerical question
Stationary point condition
For y=x^2-6x+4 , find the x -coordinate of the stationary point.
Basic differentiation
Past Paper-style Questions · 2 questions
- Question 73 marksNot attemptedNumerical question
Exam-style tangent problem
The curve y=x^3-4x+1 has a tangent at the point where x=2 . Find the…
- Question 84 marksNot attemptedNumerical question
Exam-style stationary point
A curve has equation y=x^3-12x+5 . Find the positive x -coordinate of a…
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