Further Differentiation

Chain Rule

Chain rule, tangent to curve

Chain rule, normal to curve

Differentiation using the Chain Rule (1)

Differentiation using the Chain Rule (2)

Differentiation using the Chain Rule (3)

Differentiation using the Chain Rule (4)

Differentiation using the Chain Rule (6)

Particular solution f(x) from f’(x) and a given point (reverse chain rule)

Find the first and second derivatives (chain rule)

Derivative of Inverse Trig

Differentiation of inverse cosine

Finding derivative of arccos(x) or cos^-1 (x) by Implicit Differentiation

Implicit Differentiation

Implicit differentiation

Stationary points via implicit differentiation

Implicit differentiation to find equation of tangent to curve

Finding stationary points using implicit differentiation and simultaneous equations

Implicit differentiation (1)

Implicit Differentiation (2)

Implicit Differentiation (3)

Implicit Differentiation to find equation of normal to a curve

Equation of normal using implicit differentiation

Log Derivatives

Proof d/dx(ln x) = 1/x using implicit differentiation

Proof that derivative of ln(x) is 1/x

Proof: Derivative of log x: d/dx log_a(x) = 1/(x ln(a))

Normals

Normal to a curve

Normal to a curve and area between two curves, differentiation and integration

Equation of a normal to a curve

Finding the equation of the normal to a curve at a given point

Finding equation of normal to a curve at a given point (1)

Finding equation of normal to a curve at a given point (2)

Parametric Differentiation

Parametric equations, chain rule

Parametric equations, chain rule

Parametric equations, chain rule

Parametric equations, chain rule

Parametric equation, chain rule

Parametric equation, chain rule

Differentiation of parametric equations

Parametric equation differentiation, with a trig identity

Equation of normal using parametric equation differentiation

Parametric Differentiation to find normal and angle with horizontal (firework)

Parametric Differentiation to find points where tangents are horizontal/vertical

Parametric and implicit differentiation to find gradient on a circle

Parametric and implicit differentiation to find gradient on a circle

Parametric Integration Related

Area under a parametric curve (Edexcel Pure Maths 2 paper 2 Oct 2020 Q12)

Partial Derivatives

Gradient of a line cutting a surface using partial derivative

Product Rule

Product rule and manipulation

Product rule with turning points

Differentiation using Product Rule (1)

Differentiation using Product Rule (2)

Differentiation using Product Rule (3)

Differentiation using Product Rule (4)

Differentiation using Product Rule (5)

Differentiation using Product Rule (6)

Finding the equation of tangent to a curve at given point (product rule)

Differentiation using double angle formula and product rule

Product Rule, Quotient Rule

Differentiation question involving product and quotient rules

Quotient Rule

Quotient rule (continued)

Differentiation using Quotient Rule (1)

Differentiation using Quotient Rule (2)

Series Related

Finding Maclaurin Series of e^x

Finding Maclaurin Series of f(x) = cos(2pi.x)

Tangents

Tangent to curve by first finding dx/dy

Finding the equation of the tangent to a contour of a 2d surface

Trig Differentiation

Advanced trigonometric differentiation