Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- 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.
$\frac{d}{dx}\left(\mathrm{tanh}\left(y\right)\right)=\frac{d}{dx}\left(3x^2+\mathrm{tanh}\left(x+y\right)\right)$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(tanh(y)=3x^2+tanh(x+y)). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. 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 power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.