1,330 prompts matching "finding the gradient of a curve at a point"
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Differentiation practice question #3
I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t
Differentiation practice question #4
I am in SS 3. Give me a differentiation problem where y = (2x-1)^5, find dy/dx using the c
Differentiation practice question #5
I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L
Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Explain the difference between speed and velocity in mechanics
I am in SS 3. Explain the difference between speed and velocity, and between distance and
Explain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Explain-back: why matrix multiplication order matters
I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices
Explain-back: the chain rule in calculus
I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
Show all working: mixed matrices and determinants exam question
I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini
Show all working: complex numbers and quadratics combined
I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
WAEC Prep: Completing a Cayley table for an operation on a small set
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Learn: Simplifying a surd by extracting the largest perfect square
You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti
Quiz: Multiplying two surds and simplifying the result
Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi
Spot My Mistake: Squaring a bracket that contains a surd
Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli