Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve by implicit differentiation
- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Load more...
Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(\left(2x^3+y\right)^6\right)=\frac{d}{dx}\left(3x\right)$
Learn how to solve problems step by step online. Find the implicit derivative of (2x^3+y)^6=3x. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.