What is the equation of the tangent line of #f(x) =(4x^3) / ((3-5x)^5) # at # x = 2#?
Tangent line equation is Also
The Point-Slope Form's Tangent line
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To find the equation of the tangent line of f(x) at x = 2, we need to find the slope of the tangent line and a point on the line.
First, we find the derivative of f(x) using the quotient rule:
f'(x) = [(3-5x)^5 * 12x^2 - 4x^3 * 5(3-5x)^4 * (-5)] / (3-5x)^10
Next, we substitute x = 2 into f'(x) to find the slope of the tangent line:
f'(2) = [(3-5(2))^5 * 12(2)^2 - 4(2)^3 * 5(3-5(2))^4 * (-5)] / (3-5(2))^10
Finally, we can simplify the expression to find the slope of the tangent line at x = 2.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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