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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
Learn how to solve rationalisation problems step by step online.
$\frac{d}{dx}\left(\frac{9\cos\left(7x\right)^2}{\left(8x^2-3x+1\right)e^{5x}}\right)$
Learn how to solve rationalisation problems step by step online. Find the derivative of d/dx((9e^(-5x)cos(7x)^2)/(8x^2-3x+1)). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.