hello guys help me to differentiate this question.....
Answers
Answered by
0
Answer:
dy/dx=x/√1+x²
Step-by-step explanation:
y=sec( tan⁻¹ x)
Let z=tan⁻¹ x
tanz=x and secz=√1+x²
and y=secz
dy/dz=secz*tanz
dy/dz= x√1+x²----------------(1)
dz/dx=d/dx(tan⁻¹ x)
dz/dx=1/(1+x²)------------------------(2)
Now we know that
dy/dx=dy/dz*dz/dx
putting values from (1) and (2)
dy/dx=x√1+x²*1/(1+x²)
dy/dx=x/√1+x²
Similar questions
Computer Science,
6 months ago
Psychology,
6 months ago
Math,
6 months ago
Geography,
1 year ago
Computer Science,
1 year ago
Math,
1 year ago
Physics,
1 year ago