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Edexcel A-Level Mathematics AS P1.4.1 Derivative As Gradient and Rate of Change Questions

Practise interpreting derivatives as gradients and rates of change, including related-rate models involving volume, area and time.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • use dV/dt with dV/dx or dV/dr to find dx/dt or dr/dt in terms of the variable

Edexcel A-Level Mathematics AS P1.4.1 Derivative As Gradient and Rate of Change Questions question 1

[Maximum number: 2]

A curve C has equation y=f(x) where

f(x)=(2−kx)5f(x)=(2-k x)^{5}

and k is a constant.
Given that when f(x) is divided by (4 x-5) the remainder is 24332\frac{243}{32}

find the gradient of C at the point where x=0

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