Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- Integrate by parts
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Add the values $2$ and $2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\left(2+\left(4+x\right)^2\right)^3\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (2+(2+2x)^2)^3 using the definition. Add the values 2 and 2. Find the derivative of \left(2+\left(4+x\right)^2\right)^3 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is \left(2+\left(4+x\right)^2\right)^3. Substituting f(x+h) and f(x) on the limit, we get. Expand the expression \left(4+x+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Add the values 2 and 16.