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- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\ln\left(y\right)$ and $g=7^{\left(x^2-3x\right)}$
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$\frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(\ln\left(y\right)\right)7^{\left(x^2-3x\right)}+\frac{d}{dx}\left(7^{\left(x^2-3x\right)}\right)\ln\left(y\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(ln(y))=d/dx(ln(y)*7^(x^2-3x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\ln\left(y\right) and g=7^{\left(x^2-3x\right)}. 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}. The derivative of the linear function is equal to 1. Applying the derivative of the exponential function.
