One-to-One Grinds
If you feel that you would not be confident if this topic appeared on your exam, we recommend booking one of our one-to-one grinds!
Overview
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The length of time that we recommend members of each team spend on this topic are as follows:
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Alpha – 32 days
Bravo – 25 days
Charlie – 19 days
Delta – 15 days
Echo – 11 days
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Happy learning!
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Learning Objectives
That the derivative of a function corresponds to the slope of the tangents to that function
How the SUVAT variables relate to each under non-uniform acceleration
How to use the rules of known derivatives
Why only some derivatives are constant
Why the derivative of a constant is zero
How to find unknown derivatives using known derivatives
How to use the product rule
How to use the chain rule
Why derivatives are rates of change
Why derivatives are useful outside of mechanics
That the integral of a function corresponds to the area of that function
What is meant by a indefinite integral
How to use the rules of known integrals
Why constants of integration are necessary
What is meant by a definite integral
How to calculate definite integrals
How to find unknown integrals using known integrals
How to perform integration by parts
How to use the LIATE rule
How to perform integration by substitution
How to solve separable first order differential equations
How to derive the SUVAT equations using calculus
State the calculus versions of the SUVAT equations
How to solve separable second order differential equations
How to describe the motion of an object under non-uniform acceleration
How to use derivatives in fields outside of mechanics
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Keywords
tangent
derivative
differentiate
calculus
dependent variable
independent variable
function
product rule
chain rule
rate of change
integral
indefinite integral
constant of integration
definite integral
integration by parts
LIATE rule
integration by substitution
differential equation
first order derivative
separation of variables
second order derivative
proportional
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