Question

Find the value of x when the gradient of the tangent is parallel to the x axis.

Answer 1

\[y=(2x+3)^4\] at point (-1,1)

Answer 2

know how to find gradient of tangent ?

Answer 3

yup i got the equation of normal

Answer 4

its \[y=\frac{ -x+7 }{ 8 }\]

Answer 5

parallel to x-axis is horizontal line with slope (gradient) = 0
so u just need to differentiate y
find dy/dx and put dy/dx =0

Answer 6

hence x is equal to \[-\frac{ 3 }{ 2 }\] right?

Answer 7

absolutely!

Answer 8

great i got the answer thank you so much!

Answer 9

welcome ^_^