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Taking the derivative of hyperbolic cosine
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\ln\left(2x^4\right)\right)\mathrm{sinh}\left(\ln\left(2x^4\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(cosh(ln(2x^4))). Taking the derivative of hyperbolic cosine. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. 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}.