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Click the 'Go' button to instantly generate the derivative of the input function. The calculator provides detailed step-by-step solutions, facilitating a deeper understanding of the derivative process.
The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation).
The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of the function by using our graphing tool.
Calculus. Find the Derivative - d/dx natural log of (x)^2. ln ((x)2) ln ((x) 2) Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [f (g (x))] is f '(g(x))g'(x) f ′ (g (x)) g ′ (x) where f (x) = ln(x) f (x) = ln (x) and g(x) = (x)2 g (x) = (x) 2. Tap for more steps... 1 x2 d dx [x2] 1 x 2 d d x [x 2]
Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.
We can use a formula to find the derivative of \(y=\ln x\), and the relationship \(log_bx=\frac{\ln x}{\ln b}\) allows us to extend our differentiation formulas to include logarithms with arbitrary bases.
There are two methods that can be used for calculating the derivative of ln (x 2). The first method is by using the chain rule for derivatives. The second method is by using the properties of logs to write ln (x 2) into a form which differentiable without needing to use the chain rule.
Since ln(2) ln (2) is constant with respect to x x, the derivative of ln(2) ln (2) with respect to x x is 0 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
The natural logarithm of x squared, also denoted as ln (x 2), is the logarithm of x2 to base e (euler’s number). The derivative of the natural logarithm of x2 is equal to two over x, 2/x. We can prove this derivative using the chain rule or implicit differentiation.
Explanation: #y= (lnx)^2#. Use the Chain Rule: #dy/dx=2 (lnx) (1/x)#. #dy/dx= (2lnx)/x#. Answer link.