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Let f(x) = x5 + 2x – 3 find (f−1)'(3) - Mathematics and Statistics

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प्रश्न

Let f(x) = x5 + 2x – 3 find (f−1)'(-3)

बेरीज
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उत्तर

f(x) = x5 + 2x – 3

Differentiating w.r.t. x, we get

f'(x) = 5x4 + 2

At y = – 3, x = 0

∴ (f−1)'(-3) = `1/("f'"(0))`

= `1/(5(0)^4 + 2)`

= `1/2`

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Derivatives of Inverse Functions
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