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Try out the starter Change them into Indices… …then differentitate!!!

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C2 Differentiation – Tangents and Normals How to find the gradient of a line How to find the line equation of a tangent How to find the line equation of a normal All of the above, but with negative and fractional powers

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C2 Differentiation The gradient of a straight line is given by where and are points on the line

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C2 Differentiation

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This is differentiation notation! We get the same gradient we found!

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C2 Differentiation Tells us a gradient… But a gradient of what?

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Tells us the gradient of the tangent at the point x = …

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dy/dx is the Gradient of a tangent to the curve!

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Process of finding a tangent Step 1) Find a point for the line. It can be a given point or you have to find it by sub-ing in a x-value in a given equation Step 2) Find gradient via differentiation Step 3) Use m & your point with the line equation

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Finish off the exam questions Last lesson you started the first parts of an exam questions, finding the first derivative. These are normally followed by finding the tangent

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Process of finding a normal Step 1) Find a point for the line. It can be a given point or you have to find it by sub-ing in a x-value in a given equation Step 2) Find a gradient via differentiation, then find the perp. gradient! Step 3) Use m & your point with the line equation

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Finish off the exam question Finish off the exam question and find the line equation of the normal!

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Try out the exam question on back Here’s a brand new exam question for you!

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Try out the exam questions on back

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Independent Study Misc. Exercise 8 p130 (solution p423)

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Try the “Did I forget how to differentiate?” Questions at top Did I?

Try the “Did I forget how to differentiate?” Questions at top Did I?

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