If fx is a differentiable function and -0x3 t2 ftdt - 3-13 x13 - 5 then f8-27

Diff. w.r.t. x ⇒ f(x^3) = x^4 ...

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If fx is a di...

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If f(x) is a differentiable function and $\int_{0}^{x^{3}} t^{2} f (t) d t = \frac{3}{13} x^{13} + 5$ then $f (\frac{8}{27})$

\frac{8}{27}

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\frac{16}{27}

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\frac{16}{81}

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\frac{8}{9}

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\int_{0}^{x^{3}} t^{2} f (t) d t = \frac{3}{13} x^{13} + 5

f (\frac{8}{27})

\int_{0}^{x^{3}} t^{2} f (t) d t = \frac{3}{13} x^{13} + 5

f (\frac{8}{27})

If $f : [- 5, 5] \to R$ is a differentiable function and if $f (x)$ does not vanish anywhere, then prove that $\int (- 5) \neq \int (5)$ .

f (x)

f (x) - x^{3}

f (x) + x - x^{2}

f : R \to R

f (\frac{x + y}{3}) = \frac{2 + f (x) + f (y)}{3} \forall

x

y

f^{'} (2) = 2

h (x) = | f (| x |) - 5 | \forall x \in R

h (x)

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