Exercise
$\frac{d}{dx}4x^2-\frac{1}{4x^2}$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(4x^2+-1/(4x^2)) using the sum rule. 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}. Multiply 4 times 2.
Find the derivative d/dx(4x^2+-1/(4x^2)) using the sum rule
Final answer to the exercise
$8x+\frac{1}{2x^{3}}$