If y -sin x and z -5- then dy - d z -A- cos xB- -cos xC- Does not existD- 5

The correct option is C Does not existWe know that dy/dz=dy/dx/dz/dx. Here dy/dx = cosx and dz/dx=0 (since it’s a constant function) So denominator of dy/dz b ...

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Standard XII

Mathematics

Derivative of One Function w.r.t Another

If y =sin x a...

Question

$I f y = s i n x a n d z = 5, t h e n \frac{d y}{d z}$ = _____

cos x

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–cosx

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Does not exist

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Solution

The correct option is D Does not exist
We know that $\frac{d y}{d z} = \frac{\frac{d y}{d x}}{\frac{d z}{d x}} . H e r e \frac{d y}{d x} = c o s x a n d \frac{d z}{d x} = 0$ (since it’s a constant function)
So denominator of $\frac{d y}{d z}$ becomes zero and hence $\frac{d y}{d z}$ does not exist.

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$I f y = s i n x a n d z = 5, t h e n \frac{d y}{d z}$ = _____