Question

प्रथम सिद्धांत से निम्नलिखित फलनों के अवकलज ज्ञात कीजिए : $\sin (x+1)$

Answer 1

Step-by-step explanation:

Hence, the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = - 32, Which is impossible since the numerical value of sin x cannot be greater than 1. We know that the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z.

Answer 2

f'(x)   =  Cos(x + 1)  यदि f(x) = Sin(x + 1)

Step-by-step explanation:

प्रथम सिद्धांत

f'(x) =  Lim  h → 0  (f(x + h) - f(x) )/h

f(x) =  Sin(x + 1)

f'(x) =  Lim  h → 0    (Sin(x + h + 1)  - Sin(x + 1) )/h

=> f'(x) = Lim  h → 0  (Sin(x + 1 + h)  - Sin(x + 1) )/h

Sin(A + B) = SinACosB  + CosASinB

=> f'(x) = Lim  h → 0  (Sin(x + 1)Cosh + Cos(x + 1)Sinh  - Sin(x + 1) )/h

=> f'(x) = Lim  h → 0  (Sin(x + 1)Cosh  - Sin(x + 1) )/h  + Cos(x + 1)Sinh/h

Lim  h → 0 Sinh/h = 1

=> f'(x) = Lim  h → 0  (Sin(x + 1)Cosh  - Sin(x + 1) )/h + Cos(x + 1)

=> f'(x)   =  Sin(x + 1)Cos(0) - Sin(x +1) + Cos(x + 1)

=> f'(x)   = Sin(x + 1) - Sin(x +1) + Cos(x + 1)

=> f'(x)   =  Cos(x + 1)

f'(x)   =  Cos(x + 1)  यदि f(x) = Sin(x + 1)

और पढ़ें

फलनों के अवकलन ज्ञात कीजिए

brainly.in/question/15778266

सीमाओं के मान प्राप्त कीजिए :  [tex]\lim_{x\rightarrow3}\dfrac{x^4 - 81

brainly.in/question/15778085

सीमाओं के मान प्राप्त कीजिए

brainly.in/question/15778083