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Differentiation

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7 months ago

Differentiation Class 12th

If y = Σ? kcos?¹{ (3/5)coskx - (4/5)sinkx }, then dy/dx at x=0 is 
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R
Raj Pandey

Contributor-Level 9

Kindly consider the following Image 

 

New answer posted

7 months ago

Differentiation Class 12th

If the tangent to the curve y = x + siny at a point (a,b) is parallel to the line joining (0, 3/2) and (1/2, 2), then:
0 Follower 3 Views

V
Vishal Baghel

Contributor-Level 10

Slope of tangent to the curve y=x+siny
at (a, b) is (a-2)/ (b-3)=1
⇒ dy/dx|x=a = 1
dy/dx = 1+cos y dy/dx (from equation of curve)
⇒ dy/dx|x=a and y=b = 1+cosb=1
⇒ cosb=0
⇒ sinb=±1
Now, from curve y=x+siny
b=a+sinb
⇒ |b-a|=|sinb|=1

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