`x^2+1/(x^2)andx^4+1/(x^4)w h e nx+1/x=5`

Find the derivative of f(x)={(x-1)/(2x^2-7x+5)w h e nx!=1=1/3w h e nx=1a tx=1.

Find the derivative of f(x)={(x-1)/(2x^2-7x+5)w h e nx!=1 and-1/3w h e nx=1} atx=1.

(inte^(x^4)(x+x^3+2x^5)e^(x^2) dx) is equal to (a) 1/2x e^(x^2)e^(x^4)+c (b) 1/2x^2e^(x^4)+c (c) 1/2e^(x^2)e^(x^4)+c (d) 1/2x^2e^(x^2)e^x^4+c

Find the numerically greatest term in the expansion of (3-5x)^(15)w h e nx=1//5.

(inte^x^4 (x+x^3+2x^5) e^x^2 dx) i se q u a lto 1/2x e^x^2e^x^4+c (b) 1/2x^2e^x^4+c 1/2e^x^2e^x^4+c (d) 1/2x^2e^x^2e^x^4+c

inte^x^4(x+x^3+2x^5)e^x^2dxis equal to 1/2x e^x^2e^x^4+c (b) 1/2x^2e^x^4+c 1/2e^x^2e^x^4+c (d) 1/2x^2e^x^2e^x^4+c

2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to (2x)/(1-x^2) t(2tan^(-1)x) tan(cot^(-1)(-x)-cot^(-1)(x)) "tan"(2cot^(-1)x)

2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to (2x)/(1-x^2) t(2tan^(-1)x) tan(cot^(-1)(-x)-cot^(-1)(x)) "tan"(2cot^(-1)x)

(d)/(dx)[log{e^(x)((x-2)/(x+2))^(3/4)}] equals (x^(2)-1)/(x^(2)-4) (b) 1 (c) (x^(2)+1)/(x^(2)-4) (d) e^(x)(x^(2)-1)/(x^(2)-4)