Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the product rule
- Find the derivative using the definition
- 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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
Learn how to solve product rule of differentiation problems step by step online.
$5\frac{d}{dx}\left(\cos\left(x\right)+\sin\left(x\right)\right)\left(\cos\left(x\right)-\sin\left(x\right)\right)+\left(\cos\left(x\right)+\sin\left(x\right)\right)\left(5\frac{d}{dx}\left(\cos\left(x\right)-\sin\left(x\right)\right)+\frac{d}{dx}\left(5\right)\left(\cos\left(x\right)-\sin\left(x\right)\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(5(cos(x)+sin(x))(cos(x)-sin(x))). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the constant function (5) is equal to zero. Any expression multiplied by 0 is equal to 0. x+0=x, where x is any expression.