WMA11 Jan 2023

Edexcel IAL Math WMA11/01 (P1) - JAN 2023 Solved Paper Online | ExamPrepArena

• WMA11/01 (Edexcel) IAL P1 January 2023, Q1, (Differentiation: Tangents)

A curve C has equation

y=2+10x12-2x32                  x>0

• Find​​ dydx​​ giving your answer in simplest form.

(3)

• Hence find the exact value of the gradient of the tangent to C at the point where x=2 giving your answer in simplest form.

(Solutions relying on calculator technology are not acceptable.)

(2)

SOLUTION

a- Let’s differentiate the given equation of C.

y=2+10x12-2x32

dydx=5x-12-3x12

=5x12-3x12

dydx=5x-3x

b- ​​ The expression found in part (a) is the equation of tangent or the gradient function of the curve. To find the exact value of gradient at x=2, substitute the value of ​​ x in the equation tangent.​​ 

dydx=5x-3x

dydx=52-32

dydx=52x22-32

dydx=522-32

dydx=522-622

dydx=-22