Final Answer
Step-by-step Solution
Specify the solving method
The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{\left(5x+1\right)^4}{4096}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of d/dx(((5x+1)/8)^4). The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The derivative of a function multiplied by a constant (\frac{1}{4096}) is equal to the constant times the derivative of the function. Divide 1 by 4096. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.