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Derivative of Standard Functions

Find the valu...

Question

Find the value of the function at indicated value of x if f(2x+5)= x⁴+x²+1, find f(3).

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Solution

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f (x)

f (2 x) = f^{'} (x) f^{''} (x)

f (3)

k

f

f (x) =

{\begin{matrix} k x + 1, i f x \leq 5 3 x - 5, i f x > 5 \end{matrix}

x = 5

f (x) = max \cdot {1, | x - 1 |, min {4, | 3 x - 1 |}} \forall x \in R

f (3)

f (x) - f (2 x)

5

x = 1

7

x = 2

f (x) - f (4 x)

x = 1

f (x) = log (\frac{1 + x}{1 - x})

f (\frac{2 x}{1 + x^{2}})

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