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Calculus 1: Quotient Rule

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In calculus, the quotient rule is a formula used to find the derivative of a function that is the ratio of two other functions.
If you have a function of the form f(x) = g(x)/h(x) , where both g(x) and h(x) are differentiable functions, then the derivative of f(x) with respect to x is given by:
f'(x) = [ g'(x) h(x) - g(x) h'(x) ]
/[h(x)]²
This formula can be derived by using the product rule and the chain rule for differentiation.
From the video, you can also simplify your final answer like this:
— 3 (8y-1) / (4y +1)⁴
#calculusforbeginners #calculusproblems #calculustipsandtricks #quotientrule #derivatives_of_exponential_functions_and_logarithmic_functions #calculusderivatives
If you have a function of the form f(x) = g(x)/h(x) , where both g(x) and h(x) are differentiable functions, then the derivative of f(x) with respect to x is given by:
f'(x) = [ g'(x) h(x) - g(x) h'(x) ]
/[h(x)]²
This formula can be derived by using the product rule and the chain rule for differentiation.
From the video, you can also simplify your final answer like this:
— 3 (8y-1) / (4y +1)⁴
#calculusforbeginners #calculusproblems #calculustipsandtricks #quotientrule #derivatives_of_exponential_functions_and_logarithmic_functions #calculusderivatives
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