Question

a. Use implicit differentiation to find the derivative dy/dx
b. Find the slope of the curve at the given point

y^4=6x ; (216,6)

Answer 1

@jim_thompson5910

Answer 2

help with b, please

Answer 3

use point slope formula
plug in x and y into the implicitly differentiated equation
and then use point slope formula to find the equation

Answer 4

\[\frac{ 3 }{ 2y ^{3} }\]

Answer 5

plug in your x and y values into
\[\frac{ dy }{ dx} = \frac{ 3 }{ 2y^3 }\]

Answer 6

jkjk just your y value

Answer 7

1/24?

Answer 8

check your math :0

Answer 9

1/48?

Answer 10

your derivative is 3/2y^3

Answer 11

o duh, im doing it by the ^2. sooo 1/576?

Answer 12

lol yes.
uhhh no a little bigger than that.

Answer 13

how is it so?

Answer 14

it's 1/144...?

Answer 15

im confused. 3/(2(6))^3

Answer 16

@Mertsj