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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
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$\frac{d}{dx}\left(2\ln\left(5y+7\right)\right)+\frac{d}{dx}\left(\ln\left(\tan\left(y\right)\right)\right)+\frac{d}{dx}\left(-\frac{1}{2}\ln\left(y^2+9\right)\right)$
Learn how to solve problems step by step online. Find the derivative of ln(((5y+7)^2tan(y))/((y^2+9)^(1/2))). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. Multiplying fractions -\frac{1}{2} \times \frac{1}{y^2+9}.