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Isolate the 'ln term'
2ln(2x+1) = 10ln(2x+1) = 5
Take to the exponential power form
e^(ln(2x+1)) = e^52x+1 = e^5
Simplify
2x = e^5 -1x = (e^5-1)/2

To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anyw...

A quadratic equation is one that contains an x^2 term that has a non 0 coefficient, There are three basic methods for solving a quadratic equation; factorising, completing the square, and the quadratic fo...

You would multiply both numerator and denominator by the expression (root3 +1)/(root3 +1). This expression is equal to 1 hence the original expression remains unchanged. The new expression is now (8(root...

The chain rule is a type of differentiation used when you are differentiating a function of a function e.g. (2x+5)^3, or e.g.2. (x^2 + 5)^0.5.
Firstly you replace one function with u. You then diffe...