WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. WebDec 20, 2024 · Find the derivative of \(f(x)=\ln (\frac{x^2\sin x}{2x+1})\). Solution. At first glance, taking this derivative appears rather complicated. However, by using the properties of logarithms prior to finding the derivative, we can make the problem much simpler. ... Differentiate: \(f(x)=\ln (3x+2)^5\). Hint. Use a property of logarithms to simplify ...

Derivative Calculator - Mathway

Webg(x) = ln 3x2 +1 p 1 + x2 = ln(3x2 +1) 1 2 ln(1 + x2) and then differentiate: g0(x) = 1 3x2 +1 d dx (3x2 +1) 1 2(1 + x2) d dx (1 + x2) = 6x 3x2 +1 x 1 + x2 A little algebra shows that we have the same solution, in a much simpler way. Logarithmic differentiation is so useful, that it is most often applied to expressions which do not contain any ... WebDerivative of a Constant lf c is any real number and if f(x) = c for all x, then f ' (x) = 0 for all x . That is, the derivative of a constant function is the zero function. It is easy to see this … senior architect job dubai

Differentiating logarithmic functions using log properties - Khan Academy

WebTo find the implicit derivative, take the derivative of both sides of the equation with respect to the independent variable then solve for the derivative of the dependent variable with respect to the independent variable. What is an implicit derivative? Implicit diffrentiation is the process of finding the derivative of an implicit function. WebDec 27, 2015 · f (x) = ln(3x2) For chain rule, first break the problem into smaller links and find their derivatives. The final answer would be the product of all the derivatives in the … WebTherefore, the derivative of the function f(x) = x^5 ln 9x is f'(x) = 5x^4 ln 9x + 9x^4. To differentiate the function f(x) = ln (x^5 / 7), we need to use the chain rule and the … senior apts silverdale wa