Calculus – Differentiation

Differentiation

Introducing the Rate of Change

• What is the rate of change
• Rate of change  vs.  Slope  vs.  Gradient Differentiation

Introducing the Rate of Change

• What is the rate of change
• Rate of change  vs.  Slope  vs.  Gradient

From 1st principles(not required for GCSE but a useful video for those student who would like a challenge)

• What is.... from 1st principles
• Derivative of a non-linear equation using 1st principles.
• An example

The Power Rule

• What is . . .

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From 1st principles

(not required for GCSE but a useful video for those student who would like a challenge)
• What is.... from 1st principles
• Derivative of a non-linear equation using 1st principles.
• An example Differentiation

Introducing the Rate of Change

• What is the rate of change
• Rate of change  vs.  Slope  vs.  Gradient

From 1st principles(not required for GCSE but a useful video for those student who would like a challenge)

• What is.... from 1st principles
• Derivative of a non-linear equation using 1st principles.
• An example

The Power Rule

• What is . . .

This content is restricted to members only.  Login or  register  to become a member.

The Power Rule

• What is the power rule
• Finding the derivative of an equation using the power rule
• Some examples of using the power rule Differentiation

Introducing the Rate of Change

• What is the rate of change
• Rate of change  vs.  Slope  vs.  Gradient

From 1st principles(not required for GCSE but a useful video for those student who would like a challenge)

• What is.... from 1st principles
• Derivative of a non-linear equation using 1st principles.
• An example

The Power Rule

• What is . . .

This content is restricted to members only.  Login or  register  to become a member.

Finding the equation of the Tangent Line at a point on the curve

Tangent Lines are linear of the form  y = mx + b

• The derivative of the curve at point 'a' gives the slope 'm' of the tangent line at that point
• With the coordiantes of our point 'a' and the slope 'm', use the slope formula

m = (y - y1)/(x - x1)

to workout the equation of the tangent line Differentiation

Introducing the Rate of Change

• What is the rate of change
• Rate of change  vs.  Slope  vs.  Gradient

From 1st principles(not required for GCSE but a useful video for those student who would like a challenge)

• What is.... from 1st principles
• Derivative of a non-linear equation using 1st principles.
• An example

The Power Rule

• What is . . .

This content is restricted to members only.  Login or  register  to become a member.