Derivatives equation tangent IB math HL

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Derivatives equation tangent IB math HL

Postby Jack » Wed Jan 22, 2014 7:34 pm

Differentiation, Derivatives, gradient, tangent - IB Mathematics HL

How can we find the equation of the tangent to the curve with equation

at the point ?


Thanks
Jack
 
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Re: Derivatives equation tangent IB math HL

Postby elizabeth » Wed Jan 22, 2014 7:35 pm

Derivatives equation tangent IB math HL - IB mathematics Higher Level







The gradient of the curve at is



The equation of the tangent on this point is given by the equation



where is the gradient of the tangent

and the touch point is .

So, the equation of the tangent at the given point is






Hope these help!!
elizabeth
 
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Re: Derivatives equation tangent IB math HL

Postby Jack » Wed Jan 22, 2014 7:35 pm

Thank you!
Jack
 
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