Fundamental Theorem Calculus was developed by the work of several mathematicians from the 17th to 18th century Newton and Leibniz (Gottfried) are mainly credited with its definition. So what is Calculus and what does it involve?

What’s the gradient of this line?

What is a Gradient? The gradient of a line is the slope of the line. Gradient is defined change in y value/the change in x value m = (y₂-y₁) ÷ (x₂-x₁)

How did you calculate the gradient of the line? Example: Chose two points on the line: (2,1) & (3,3) Apply: m = (y₂-y₁) ÷ (x₂-x₁) = (3-1) ÷ (3-2) = 2÷1 = 2 The line has a gradient of 2 Y 2 -y 1

What’s the gradient of this function? What are the issues of finding gradients of quadratics?

Using Chords to approximate gradients at different points on a curve Can we use the same method as we used for finding straight lines to obtain an approximation of a gradient?

Finding the gradient at a specific point Can you find the best approximation for the gradient at point 2,4? How could you apply the technique using chords in order to find the gradient at 2,4 Use resource handed out