Exercise
$\frac{d}{dx}\left(\arcsin\left(\frac{2x+11}{5}\right)\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Find the derivative of arcsin((2x+11)/5). Taking the derivative of arcsine. The derivative of a function multiplied by a constant (\frac{1}{5}) is equal to the constant times the derivative of the function. Multiplying fractions \frac{1}{\sqrt{1-\left(\frac{2x+11}{5}\right)^2}} \times \frac{1}{5}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the derivative of arcsin((2x+11)/5)
Final answer to the exercise
$\frac{2}{5\sqrt{1-\left(\frac{2x+11}{5}\right)^2}}$