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- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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- Find the derivative using the product rule
- Find the derivative using the quotient rule
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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 $\displaystyle f'(x)=\frac{a'}{a}$
Learn how to solve implicit differentiation problems step by step online.
$\frac{1}{3x+y^3}\frac{d}{dx}\left(3x+y^3\right)=13x$
Learn how to solve implicit differentiation problems step by step online. Find the implicit derivative d/dx(ln(3x+y^3))=13x. 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 a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
