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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1B
- (d)/(dx) {Sin ^(-1) (3x -4 x ^(3))}=
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- The derivative of Cos ^(-1) (4x ^(3) -3x) w.r.t x is
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- (d)/(dx) {Sin ^(-1)"" ((5x + 12 sqrt(1- x ^(2)))/(12))}=
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- (d)/(dx) {Tan ^(-1) ""(sqrtx + sqrta)/(1- sqrtax)}=
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- (d)/(dx) {Cos ^(-1) ""( x ^(2n)-1)/(x ^(2n) + 1) }=
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- (d)/(dx) {Cos ^(-1) ""(x-x ^(-1))/(x + x ^(-1))}=
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- (d)/(dx) {Sin ^(2) Cot ^(-1) ""(sqrt(1+ x))/(1-x)}=
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- (d)/(dx) {Sin ^(-1) ((3x)/(2) - (x ^(3))/(2))}=
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- d/(dx){cos^(-1)((4x^3)/27-x)}=
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- (d)/(dx) {Cos ^(-1) ""(sqrt((1 + x)/2))}=
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- (d)/(dx) {Sin ^(-1) ""(sqrt((1-x)/2)}=
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- (d)/(dx ) {Sin ^(-1) ""(x)/( sqrt(1+ x^(2)))}=
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- (d)/(dx) {Sin ^(-1) ""(2x)/(1+ x ^(2))}=
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- (d)/(dx) {Tan ^(-1) ""(2x)/(1- x ^(2))}=
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- (d)/(dx) {Sec ^(-1) ""(1)/( 1- 2x ^(2))}=
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- (d)/(dx) {Tan ^(-1) ""(sqrt (( x ^(2))/(a ^(2) -x ^(2))))}=
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- (d)/(dx) {Tan ^(-1) ((x-a)/(1 + ax ))}=
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- (d)/(dx) {Tan ^(-1) (sqrt(1+ x ^(2))-1)/( x)}=
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- Tan^(-1)((3x-x^(3))/(1-3x^(2)))=
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- (d)/(dx) {Tan ^(-1) ""(sqrt(1-x))/(1+ x) }=
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