Question 4: Differentiate the functions with respect to x. sec (tan (√x ))
Class 12 - Math - Continuity and Differentiability
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Differentiation Using chain rule.
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formulas used
d/dx(secx) = secxtanx
d/dx(tanx) = sec²x
d/dx(xⁿ) = nxⁿ-¹
-----------------------
formulas used
d/dx(secx) = secxtanx
d/dx(tanx) = sec²x
d/dx(xⁿ) = nxⁿ-¹
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★ DIFFERENTIATION ★
y = Sec ( Tan √x )
dy/dx = Sec ( Tan √x ) Tan ( Tan√x ) Sec² √x ( 1/ 2√x )
[Sec ( Tan √x ) Tan ( Tan√x ) Sec² √x ]/ 2√x
The same result implies for using logarithmic functions on both the sides ,
But it'll increase the payloads , hence , using Chain rule only
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
y = Sec ( Tan √x )
dy/dx = Sec ( Tan √x ) Tan ( Tan√x ) Sec² √x ( 1/ 2√x )
[Sec ( Tan √x ) Tan ( Tan√x ) Sec² √x ]/ 2√x
The same result implies for using logarithmic functions on both the sides ,
But it'll increase the payloads , hence , using Chain rule only
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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