Exercise
$\frac{d}{dx}\sqrt{ax+b}$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of (ax+b)^(1/2). 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. The derivative of the linear function is equal to 1.
Find the derivative of (ax+b)^(1/2)
Final answer to the exercise
$\frac{a}{2\sqrt{ax+b}}$