A curve is defined implicitly by the equation x²+xy+y³=1 dy Differentiate implicitly to find dx

Q: There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find…

A: We first find dy/dx suing quotient rule

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

A:

Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: A curve is defined implicitly by the equation x²+xy+y? =1 dy Differentiate implicitly to find dx

A: here we use basic differentiation form.

Q: Use implicit differentiation to find dy dx for the curve given by x²y + xy² = 6x.

A:

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…