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Finding the gradient at a point on a curve

Calculus HOME | Achievement Objectives | Gradient | Gradient Functions | Differentiation | Gradient at a point | Find point with gradient | Equation of Tangent | Second Derivitive | Coordinates of Max & Min | Increasing, Decreasing Functions | Applications | Kinematics with differentiation | Antidifferentiation | Finding 'C' | Kinematics with anti-differentiation | Rates of Change | Mixed Problems | Revision

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Finding gradient at a point

Differentiating and finding the gradient at a point (given an 'x' value) (merit level)

Differentiating (achieve) then substituting into the derivative a given 'x' value to find the gradient of the original function at that point

 

Class Notes | Blank Notes

Ex14.06, Ex15.01,

p74, 75

 

 

 

The derivative is used to find the gradient at different points on a curve.

Substituting an x value into the derivative will tell us the gradient of the curve at that x value.
Find the gradient at points on the curve of

The gradient at: Mouse over x values & derivatives below

Substituting the x values into the derivative finds the gradient of the TANGENT line at the corresponding point on the curve

Refresh the page to redo the mouse over steps

Class Notes | Blank Notes Screen Snaps:

 

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