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use product rule (uv)' = uv' + u' v with
u = x² ; v =tanֿ¹(5x)
answer and some steps are given below
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some other examples
diff. arctan √ [(1-x)/(1+x)]
w.r.t.x ---------------diff. by
trig. substitution
derivative of (ax+b)/(cx+d) --------------quotient rule
find dy/dt if y = t exp(-t) [Acost +Bsint] -----------uvw rule
derivative of (ax+b)/(cx+d) --------------quotient rule
find dy/dt if y = t exp(-t) [Acost +Bsint] -----------uvw rule
implicit
differentiation
if sqrt(x) +sqrt(y) = 8, find
dy/dx ----------->( implicit
differentiation )
if √(xy) = x - 2y, find dy/dx ---------------->( implicit differentiation )
if xy + y^2 =1 , find dy/dx ---------------- implicit differentiation
if y = x^(lnx) , find dy/dx ----------------logarthmic differentiation
if √(xy) = x - 2y, find dy/dx ---------------->( implicit differentiation )
if xy + y^2 =1 , find dy/dx ---------------- implicit differentiation
if y = x^(lnx) , find dy/dx ----------------logarthmic differentiation
(trig. formulae)
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formulae on sequences and series
(trig. formulae)
(integration formulae)
(other math problems without classification) or problem index
(formulae on differentiation)
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