If `f(x)=x^4tan(x^3)-x1n(1+x^2),`then the value of`(d^4(f(x)))/(dx^4)`at `x=0`is0 (b) 6(c) 12 (d)24

If `f(x)=x^4tan(x^3)-x1n(1+x^2),`then the value of`(d^4(f(x)))/(dx^4)`

1.	If `f(x)=x^4tan(x^3)-x1n(1+x^2),`then the value of`(d^4(f(x)))/(dx^4)`at `x=0`is0 (b) 6(c) 12 (d)24
Answer» `"As "f(x) = x^(4) tan (x^(3))-x" In "(1+x^(2))" is odd, "(d^(3)f(x))/(dx^(3))` is even `"Hence, "(d^(4)f(x))/(dx^(4))=0at x = 0.`

`"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y_(2)+xy_(1)` is (where `y_(r)` represents the rth derivative of y w.r.t. x)A. `m^(2)y`B. `my^(2)`C. `m^(2)y^(2)`D. none of these
Find `(dy)/(dx)`, when: `y=e^(x)sin^(3)xcos^(4)x`
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Find the second derivative of `e^(3x)sin4x.`
If for `x (0,1/4),`the derivative of `tan^(-1)((6xsqrt(x))/(1-9x^3))`is `sqrt(x)dotg(x),`then `g(x)`equals:`(3x)/(1-9x^3)`(2) `3/(1+9x^3)`(3) `9/(1+9x^3)`(4) `(3xsqrt(x))/(1-9x^3)`A. `(9)/(1+9x^(3))`B. `(3xsqrt(x))/(1-9x^(3))`C. `(3x)/(1-9x^(3))`D. `(3)/(1+9x^(3))`
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If for `x (0,1/4),`the derivative of `tan^(-1)((6xsqrt(x))/(1-9x^3))`is `sqrt(x)dotg(x),`then `g(x)`equals:`(3x)/(1-9x^3)`(2) `3/(1+9x^3)`(3) `9/(1+9x^3)`(4) `(3xsqrt(x))/(1-9x^3)`A. `(3)/(1+9x^(3))`B. `(9)/(1+9x^(3))`C. `(3xsqrt(x))/(1-9x^(3))`D. `(3x)/(1-9x^(3))`
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If `f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta)))`, where `-pi/4 lt theta lt pi/4,` then the value of `d/(d(tantheta)) f(theta)` is