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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 sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\sin\left(x\right)^x\right)+\frac{d}{dx}\left(x^{\sin\left(x\right)}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(sin(x)^x+x^sin(x)) 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 \frac{d}{dx}\left(\sin\left(x\right)^x\right) results in \left(\ln\left(\sin\left(x\right)\right)+\frac{x\cos\left(x\right)}{\sin\left(x\right)}\right)\sin\left(x\right)^x. The derivative \frac{d}{dx}\left(x^{\sin\left(x\right)}\right) results in \left(\cos\left(x\right)\ln\left(x\right)+\frac{\sin\left(x\right)}{x}\right)x^{\sin\left(x\right)}. Simplify the derivative.
