Find the derivative of the following function with respect to x. 5x^4+6x^2-x+1/x
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Step-by-step explanation:
Solution - (5 x ^ 4 + 6x ^ 2 - x + 1)/x
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Answer:
d y / d x is equal to 10 x² + 6 - x⁻².
Step-by-step explanation:
We can write the given function as:
5 x³ + 6 x - 1 + 1 / x.
Now let be equal to y
y = 5 x³ + 6 x - 1 + 1 / x.
Differentiating with respect to x, we get that:
d y / d x = 5 (2) x² + 6 (1) - 0 + 1 (-1) x⁻²
d y / d x = 10 x² + 6 - x⁻²
Therefore, we get d y / d x is equal to 10 x² + 6 - x⁻².
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