Final answer to the problem
$-6\cos\left(x\right)-3$
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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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1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(-6\sin\left(x\right)\right)+\frac{d}{dx}\left(-3x\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(-6sin(x)-3x) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.
Final answer to the problem
$-6\cos\left(x\right)-3$
