Solving: $\frac{d}{dx}\left(y^3x+\frac{x^2}{y}-4\right)$
Exercise
$\frac{dy}{dx}\left(y^3x\:+\:\frac{x^2}{y}\:-\:4\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the derivative d/dx(y^3x+(x^2)/y+-4) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant (\frac{1}{y}) is equal to the constant times the derivative of the function.
Find the derivative d/dx(y^3x+(x^2)/y+-4) using the sum rule
Final answer to the exercise
$y^3+\frac{2x}{y}$