Solving: $\frac{d}{dx}\left(\ln\left(y\right)=3\right)$
Exercise
$\frac{dy}{dx}\left(ln\left(y\right)=3\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(ln(y)=3). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (3) is equal to zero. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. The derivative of the linear function is equal to 1.
Find the implicit derivative d/dx(ln(y)=3)
Final answer to the exercise
$y^{\prime}=0$