## Finding gradient of a tangent

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
Nats
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### Finding gradient of a tangent

A curve with the equation: y= 3x^2 - x^3
tangent drawn at point (3,0)

buddy
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### Re: Finding gradient of a tangent

A curve with the equation: y= 3x^2 - x^3
tangent drawn at point (3,0)

i think you'd need calculus for this. but what you've posted shows you're probably still in early algebra. what class is asking all these questions???

Nats
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### Re: Finding gradient of a tangent

Im taking Cambridge IGCSE Mathematics (0581)

This is a question for my assignment. the graph is already drawn.

buddy
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Joined: Sun Feb 22, 2009 10:05 pm
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### Re: Finding gradient of a tangent

Im taking Cambridge IGCSE Mathematics (0581)

This is a question for my assignment. the graph is already drawn.
what method do they teach you for finding the gradient at a point on a curved line? i only know calc so you need to say what other thing you're supposed to use. thnx

Nats
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Joined: Mon Aug 19, 2013 11:14 am
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### Re: Finding gradient of a tangent

what method do they teach you for finding the gradient at a point on a curved line? i only know calc so you need to say what other thing you're supposed to use. thnx

In my textbook it states: to calculate the gradient of a curve at a specific point, the following steps need to be taken:
*draw a tangent to the curve at the point
*calculate the gradient of the tangent

worked example : y = 2x^2, calculate the gradient of the curve at the point when x= 1
and then two graphs are given. a tangent is drawn at x =1

two points on the tangent are identified in order to calculate its gradient