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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
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2nd way: derivative (x^x)^x
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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logic Idempotent law show x=xVx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx
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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx
3 picture views of the sum ... 1+2+3+...+n
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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.
3 ways: If y=x/(1+x^2) find dy/dx.
Compute the derivatives of the following function
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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)
Alternate: trig integral ∫sec(x) dx withOUT explicit partial fraction
2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
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