If a function is of form f-z-g-z-h-z- then f-z- - -h-z-d-g-z-dz-g-z-d-h-z-dz-h-z-2 TrueFalse

The correct option is B FalseFor a function of the form f(z)=g(z)h(z), f'(z) will be (h(z))d(g(z))dz g(z)d(h(z))dz(h(z))^2 ...

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Byju's Answer

Standard XI

Mathematics

Algebra of Derivatives

If a function...

Question

If a function is of form
$f (z) = \frac{g (z)}{h (z)}$ , then
$f^{'} (z) = \frac{\frac{(h (z)) d (g (z))}{d z} + g (z) \frac{d (h (z))}{d z}}{(h (z))^{2}}$

True

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False

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Solution

The correct option is B False
For a function of the form
$f (z) = \frac{g (z)}{h (z)}$ , $f^{'} (z)$ will be

$\frac{\frac{(h (z)) d (g (z))}{d z} - g (z) \frac{d (h (z))}{d z}}{(h (z))^{2}}$

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Similar questions

If a function is of form
$f (z) = \frac{g (z)}{h (z)}$ , then
$f^{'} (z) = \frac{\frac{(h (z)) d (g (z))}{d z} + g (z) \frac{d (h (z))}{d z}}{(h (z))^{2}}$

If a function is of form f(x)= $\frac{g (Z)}{h (z)}$ , then f'(x) - $\frac{\frac{(h (z)) d (g (z))}{d z} + g (z) \frac{d (h (z))}{d z}}{(h (z))^{2}}$

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If a function is of form f(z)=g(z)h(z), then f′(z)=(h(z))d(g(z))dz+g(z)d(h(z))dz(h(z))2

The correct option is B FalseFor a function of the form f(z)=g(z)h(z), f′(z) will be (h(z))d(g(z))dz−g(z)d(h(z))dz(h(z))2

If a function is of form
$f (z) = \frac{g (z)}{h (z)}$ , then
$f^{'} (z) = \frac{\frac{(h (z)) d (g (z))}{d z} + g (z) \frac{d (h (z))}{d z}}{(h (z))^{2}}$

The correct option is B False
For a function of the form
$f (z) = \frac{g (z)}{h (z)}$ , $f^{'} (z)$ will be

$\frac{\frac{(h (z)) d (g (z))}{d z} - g (z) \frac{d (h (z))}{d z}}{(h (z))^{2}}$