Answer:
Answer is 3e.
Step-by-step explanation:
The slope is given by the derivative at the given point.
Differentiating:-
4x^3 = 1/xy *(x * dy/dx + y)
4x^3 = 1/y * dy/dx + 1/x
dy/dx = (4x^3 - 1/x) * y
At the point (1, e) x = 1 and y = e so substituting
slope at (1,e) = dy/dx = (4(1)^3 - 1/1) * e
= 3e (answer)
Answer:
y+2=3(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(7-(-2))/(2-(-1))
m=(7+2)/(2+1)
m=9/3
m=3
y-(-2)=3(x-(-1))
y+2=3(x+1)