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Differentiate the following function ...

Differentiate the following function from first principles: `sin^(-1)(2x+3)`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the function sin(logx) with respect to x.

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  2. Differentiate the following function sin^2(2x+1)

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  3. Differentiate the following function from first principles: sin^(-1...

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  4. Differentiate the following functions with respect to sin(3x+5)

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  5. Differentiate the following functions with respect to tan(x^0+45^0)

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  6. Differentiate the following function with respect to x : cos^(-1...

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  7. Differentiate the following functions with respect to tan5x^0

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  8. Differentiate the following functions with respect to (log)7(2x-3)

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  9. Differentiate the following function with respect to x: (i)e^(xl...

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  10. Differentiate the following function with respect to x: x^(cos^-...

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  11. Differentiate the following function with respect to x: (logx)^(co...

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  12. Differentiate the following function with respect to x:x^(1/x)

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  13. If y=sqrt(x^2+a^2)," prove that "y(dy)/(dx)-x=0

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  14. If y=e^x+e^-x, prove that (dy)/(dx)=sqrt(y^2-4)

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  15. If x y=4,prove , x((dy)/(dx)+y^2)=3y

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  16. Prove that d/(dx){x/2sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)}=sqrt(a^2-x^2)

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  17. Differentiate the following with respect to x : cos^(-1)(sinx) and cot...

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  18. If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),0ltxlt1, prove t...

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  19. Differentiate the following function with respect to x : tan^(-1)(...

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  20. If y=cot^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))}...

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