Math, asked by teenashah5038, 11 months ago

The value of dy/dx at x=90 degree where y = e^sinx

Answers

Answered by rishu6845

Answer:

Step-by-step explanation:

Given ----> y = eˢⁱⁿˣ

To find---> dy / dx at x = π / 2

Solution---> We have some formula of differentiation as follows,

(1) d / dx ( eˣ ) = eˣ

(2) d / dx ( Sinx ) = Cosx

ATQ,

y = eˢⁱⁿˣ

Diffrrentiating with respect to x

=> dy / dx = d / dx ( eˢⁱⁿˣ )

=> dy / dx = e ˢⁱⁿˣ d / dx ( Sinx )

=> dy / dx = eˢⁱⁿˣ ( Cosx )

dy / dx at x = 90°

= eˢⁱⁿ⁹⁰ ( Cos90° )

= e¹ ( 0 )

= 0

Additional information--->

1 ) d / dx ( Cosx ) = - Sinx

2) d / dx ( tanx ) = Sec²x

3) d / dx ( Secx ) = Secx tanx

4) d / dx ( Cosecx ) = - Cosecx Cotx

5) d / dx ( Cotx ) = - Cosec²x

Answered by Aɾꜱɦ

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