Exercise
$\frac{d}{dx}\left(\sqrt{1-289x^2}\right)\left(arccos\left(17x\right)\right)$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Find the derivative of (1-289x^2)^(1/2)arccos(17x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sqrt{1-289x^2} and g=\arccos\left(17x\right). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. 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.
Find the derivative of (1-289x^2)^(1/2)arccos(17x)
Final answer to the exercise
$\frac{-289x\arccos\left(17x\right)}{\sqrt{1-289x^2}}-17$