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(iv)sec^(-1)((1+e^(2sqrt(x)))/(2e^(sqrt(...

(iv)sec^(-1)((1+e^(2sqrt(x)))/(2e^(sqrt(x))))

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sec^(-1)((1+e^(2sqrt(x)))/(2e^(sqrt(x)))) differentiate

If y=e^(sqrt(x))+e^(-sqrt(x)), then (dy)/(dx) is equal to (a)(e^(sqrt(x)))/(2sqrt(x))(b)(e^(sqrt(x))-e^(-sqrt(x)))/(2x)(1)/(2sqrt(x))sqrt(y^(2)-4)(d)(1)/(2sqrt(x))sqrt(y^(2)+4)

intsqrt((e^x+1)/(e^x-1))dx (A) ln (e^(x)+sqrt(e^(2x)-1))-sec^(-1)(e^(x)) +C (B) ln(e^(x)+sqrt(e^(2x)-1))+sec^(-1)(e^(x))+C (C) ln (e^(x)-sqrt(e^(2x)-1))-sec^(-1)(e^(x)) +C (D) ln(e^(x)+sqrt(e^(2x)-1))-sin^(-1)(e^(-x))+C

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a) (e^(sqrt(x)))/(2sqrt(x)) (b) (e^(sqrt(x))-e^(-sqrt(x)))/(2x) 1/(2sqrt(x))sqrt(y^2-4) (d) 1/(2sqrt(x))sqrt(y^2+4)

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a) (e^(sqrt(x)))/(2sqrt(x)) (b) (e^(sqrt(x))-e^(-sqrt(x)))/(2sqrtx) (c) 1/(2sqrt(x))sqrt(y^2-4) (d) 1/(2sqrt(x))sqrt(y^2+4)

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a) (e^(sqrt(x)))/(2sqrt(x)) (b) (e^(sqrt(x))-e^(-sqrt(x)))/(2sqrtx) 1/(2sqrt(x))sqrt(y^2-4) (d) 1/(2sqrt(x))sqrt(y^2+4)

Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)

Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)

Solve [(e^(-2sqrt(x)))/(sqrt(x))-(y)/(sqrt(x))](dx)/(dy)=1(x!=0)