Find the derivative $\frac{d}{dx}\left(\mathrm{cosh}\left(x\right)^2-\mathrm{sinh}\left(x\right)^2\right)$ using the sum rule

Learn how to solve limits by direct substitution problems step by step online. Find the derivative d/dx(cosh(x)^2-sinh(x)^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}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.