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SingaporeAdditional MathematicsQuick questions
Differentiation
Quick questions on Tangents and normals: N(A)-Level Additional Mathematics
6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is the tangent has the gradient of the curve?Show answer
The gradient of the curve at a point is the value of there. Because the tangent touches the curve at that point, the tangent gradient equals the derivative evaluated at that point.
What is the normal is perpendicular to the tangent?Show answer
The normal meets the curve at the same point but at a right angle to the tangent. So its gradient is the negative reciprocal of the tangent gradient:
What is wrong normal gradient?Show answer
The normal gradient is the negative reciprocal of the tangent gradient; do not reuse the tangent gradient.
What is q1?Show answer
Find the gradient of at the point . [2 marks]
What is q2?Show answer
Find the equation of the tangent to at . [2 marks]
What is q3?Show answer
Find the gradient of the normal to a curve where the tangent gradient is . [1 mark]
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