Purchase Solution

Finding a derivative by implicit differentiation

Not what you're looking for?

Ask Custom Question

Question 3:
a) Find the derivative of the following functions dy/dx, by the method of implicit differentiation: i) (x^2)(y^2) - xy = 8; ii) sqrt(x + y) = x; iii) (x - y)/(2x + 3y) = 2x.

b) Find the equation of tangent line to the graph of the following function at the indicated points: i) y^2 - x^2 = 16; at (2, 2 sqrt(5); ii) (x^2)(y^3) - y^2 + xy - 1 = 0 at (1, 1).

Question 4:
a) Find the derivative of the following functions: i) f(x) = 4e^(3x+2) ... ii) f(x) = (x^3)(e^x); iii) f(x) = (x-1)e^3x+2; iv_ Find the second derivative of the function: f(x) = 2xe^3x.

b) i) find an equation of the tangent line to the graph of the function f(x) = xln, at; (1,1). ii) Find the equation of the tangent line to the graph of y = e^2x-3 at (3/2, 1).

Purchase this Solution

Solution Summary

Differentiating implicitly is modeled in an attached Word document.

Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.