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Integrating standard functions
Integrating f(ax + b)
Integration with trigonometric identities
Reverse chain rule
Integration by substitution
Integration by parts
Integration using partial fractions
Finding areas using integration
The trapezium rule
Solving differential equations
Modelling with differential equations
Differentiating sin x and cos x
Differentiating exponentials and logarithmic functions
The chain rule
The product rule
The quotient rule
Differentiating inverse functions
Differentiating trigonometric functions
Parametric differentiation
Implicit differentiation
Second derivatives: Concave and convex functions
Connected rates of change
To write a square root in index form, raise the index to the power of a half.
Fractional indices have powers that are fractions. The denominator of the fraction refers to the root of the index. The answer is then raised to the power, which is the value of the numerator.
Negative indices are variables raised to a negative power. This can be written as one divided by, or the reciprocal of, the index.
Beta