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If f(x)=7+ 4/x​ + 1/6x²​ , find f'(x)

User Yous
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Final answer:

To find the derivative of the function f(x) = 7 + 4/x + 1/6x², we can use the power rule for differentiation. The derivative is -4/x^2 + x/3

Step-by-step explanation:

To find the derivative of the function f(x) = 7 + 4/x + 1/6x², we can use the power rule for differentiation. The power rule states that the derivative of x^n is equal to n*x^(n-1). Applying this rule to each term in the function, we get:

f'(x) = 0 + (-4/x^2) + (1/6)*(2x) = -4/x^2 + 2x/6 = -4/x^2 + x/3

User Dan Sandland
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