Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more26 If y = asinx bcoss, then the value of y* ( (A) a²Free derivative calculator differentiate functions with all the steps Type in any function derivative to get the solution, steps and graph

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Y=tan^-1(2x/1-x^2)
Y=tan^-1(2x/1-x^2)-Graph y=tan (1/2x) y = tan ( 1 2 x) y = tan ( 1 2 x) Find the asymptotes Tap for more steps For any y = tan ( x) y = tan ( x), vertical asymptotes occur at x = π 2 n π x = π 2 n π, where n n is an integer Use the basic period for y = tan ( x) y = tan ( x), ( − π 2, π 2) ( π 2, π 2), to find the vertical asymptotes for yExample 7 Show that tan1 𝑥 tan1 2𝑥/(1 −𝑥2) = tan1 (3𝑥 − 𝑥3)/(1 − 3𝑥2) Solving LHS tan1 𝑥 tan1 2𝑥/(1 − 𝑥2) = tan1 (𝑥



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If y = tan−1x, then tany = x Differentiating implicitly gets us sec2y dy dx = 1, so dy dx = 1 sec2y From trigonometry, we know that 1 tan2y = sec2y so dy dx = 1 1 tan2y and we have tany = x, so we get For y = tan−1x, the derivative is dy dx = 1 1 x2KCET 12 If y= tan1 ( (1/1xx2)) tan1 ( (1/x22x3)) tan1( (1/x25x7)) dotsn terms then y'(0) is (A) (π/2) (B) (n2/1n2) (n2/1Eg1 Write sinxcosxtanx as sin(x)cos(x)tan(x) 2 Write secx*tanx as sec(x)*tan(x) 3 Write tanx/sinx as tan(x)/sin(x) 4 Use inv to specify inverse and ln to specify natural log respectively Eg1 Write sin1 x as asin(x) 2 Write ln x as ln(x) 5 Sample Inputs for Practice Eg1 Write (10x2)(x 2) as 10*x2x^2 2 Write cos(x 3) as cos
If y = tan1 a/x log (xa/xa) 1/2, prove that dy/dx = 2a 3 /(x 4 – a 4) Mention each and every step Queries asked on Sunday &X) / (1x²) d²y/dx²Transcribed image text 25 2 15 2x da It x²
See the answer See the answer See the answer done loadingFind the value of the following tan1/2sin^1(2x/(1 x^2)) cos^1((1 y^2)/(1 y^2), x <Devesh Kumar, Meritnation Expert added an answer, on 16/5/15 Devesh Kumar answered this y = tan 1 1 x 1 x tan 1 x 2 1 2 x put x = tan θ and 2 = tan α Now, y = tan 1 tan π / 4 tan θ 1 tan π / 4 tan θ tan 1 tan θ tan α 1 tan α tan θ y = tan 1 tan π 4 θ tan 1 tan θ α y = π 4 θ θ α y = π 4 2 θ α y = π 4 2 tan 1 x tan 1 2 ⇒ dy dx = 0 2 1 x 2 0 = 2 1 x 2



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Avail 25% off on study pack Avail OfferTan^1(2x/115x^2) Let y = tan^1 (2 x / 1 15 x^2) We can write as tan^1 (5 x – 3 x / 1 5 x 3 x) Let 5 x = tan A and 3 x = tan B Now y = tan^1 (tan A – tan B / 1 tan A tan B) y = tan^1 tan(A – B) y = A – B y = tan^1 5 x – tan^1 3 x So dy/dx = 1/1 25 x^2 x 5 – 1/1 9 x^2 x 3Y=\frac{\sqrt{3}\sin(\frac{2x}{3})\cos(\frac{2x}{3})}{\sqrt{3}\cos(\frac{2x}{3})\sin(\frac{2x}{3})},\nexists n_{1}\in \mathrm{Z}\text{ }x=\frac{3\pi n_{1}}{2}\pi




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Graph y=tan(1/2xpi/4) Find the asymptotes Tap for more steps For any , vertical asymptotes occur at , where is an integer Use the basic period for , , to find the vertical asymptotes for Set the inside of the tangent function, , for equal to to find where the vertical asymptote occurs forFind the value of the following tan(1/2)sin^(1)((2x)/(1x^2))cos^(1)((1y^2)/(1y^2)),x <1,y>0 and xy <1Dy/dx = 2 (Tan⁻¹




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Now minimum value of cos^2 x 1/cos^2 x will Be 2 Also 1 13 So minimum value of sin3z 3 is 2 now as Whole multiplication is equal to 4 1 tan^2 2y has to be = 1 so Tan^2 2y =0If Y = E Tan − 1 X Prove that (1 X2)Y2 (2x − 1)Y1 = 0 ?If \(y=2^{\frac{1}{\log _{x}4}}\), then x is equal to If x denotes the greatest integer less than or equal to x, then the value of ∫1 1 (x 2 x) dx is If {√(cot x) / sin x cos x} dx = P √cot x Q, then the value of P is If α and β are the roots of the equation 2x(2x1) = 1, then β is equal to




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Y'' 2x (1x²) y'Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystepTan(x y) = (tan x tan y) / (1 tan x tan y) sin(2x) = 2 sin x cos x cos(2x) = cos ^2 (x) sin ^2 (x) = 2 cos ^2 (x) 1 = 1 2 sin ^2 (x) tan(2x) = 2 tan(x) / (1




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