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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$5\left(\frac{40+x}{140}\right)^{4}\frac{d}{dx}\left(\frac{40+x}{140}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ((40+x)/140)^5. 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 function multiplied by a constant (\frac{1}{140}) is equal to the constant times the derivative of the function. Multiply the fraction and term in 5\cdot \left(\frac{1}{140}\right)\left(\frac{40+x}{140}\right)^{4}\frac{d}{dx}\left(40+x\right). The derivative of a sum of two or more functions is the sum of the derivatives of each function.
