Final answer to the problem
Step-by-step Solution
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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 derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
Learn how to solve differential calculus problems step by step online.
$3\frac{d}{dx}\left(\arcsin\left(x^4\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 3arcsin(x^4). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Taking the derivative of arcsine. Simplify \left(x^4\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
