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

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Presentation transcript:

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

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

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

C2 Differentiation

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

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

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

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

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

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

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

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

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

Try out the exam questions on back

Independent Study Misc. Exercise 8 p130 (solution p423)