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

Practise Edexcel IAL Mathematics P1.4.1 by reading f′(x) as tangent gradient and rate of change, using limits and interpreting second derivatives.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • interpret f′(x) as the tangent gradient and rate of change, including second derivatives

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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