If a function is of form f x - g Z - h z - then f - x - h z d g z - d z - g z d h z - d z- h z 2A- TrueB- False

The correct option is B False For a function of the form f(x)=g(x)/h(x), f'(x) will be (h(x))d(g(x))/dx g(x)d(h(x))/dx/(h(x))^2 ...

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Byju's Answer

Standard XI

Mathematics

Properties of Cube Root of a Complex Number

If a function...

Question

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

True

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False

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Solution

The correct option is B
False

For a function of the form $f (x) = \frac{g (x)}{h (x)}$ , f'(x) will be

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

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Similar questions

If a function is of form
$f (z) = \frac{g (z)}{h (z)}$ , then
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Q. For the function y = f(x) the formal definition of derivative is

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If a function is of form f(x)=g(Z)h(z), then f'(x) - (h(z))d(g(z))dz+g(z)d(h(z))dz(h(z))2

The correct option is B False For a function of the form f(x)=g(x)h(x), f'(x) will be (h(x))d(g(x))dx−g(x)d(h(x))dx(h(x))2

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

The correct option is B
False

For a function of the form $f (x) = \frac{g (x)}{h (x)}$ , f'(x) will be

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