Solving: $\frac{d}{dx}\left(\ln\left(5x^2+3\right)\right)$
Exercise
$\frac{dy}{dx}\left(ln\left(5x^2+3\right)\right)$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of ln(5x^2+3). 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 a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Find the derivative of ln(5x^2+3)
Final answer to the exercise
$\frac{10x}{5x^2+3}$