Hello:
Use implicit differentiation : <span>y sin 12x = x cos 2y
y' sin12x+12ycos12x =cos2y -2x y'sin2y
when : x = </span>π/2 and y =π/4<span>
</span>y' sin12(π/2) +12(π/4)cos12(π/2) =cos2(π/4) -2(π/2) y'sin2(<span>π/4)
</span>y' sin(π/6) +(π/3)cos(π/6) =cos(π/2) - π y'sin(π/2)
y' (1/2) +(π/3)(√3/2) = - π
y' (1/2) =-(π/3)(√3/2) - π
y' = -π (1+√3)/3
an equation of the tangent line is : y- π/4 = ( -π (1+√3)/3)(x-<span>π/2)</span>
You can solve this equation by rearranging the 2x to the opposite side, but since it's a positive, you must change it to a negative. If the number was negative, it would've been a positive.
y=-2x+3
-2x is the slope and 3 is the y-intercept.
Hope this helped!
Answer:
4x²+35x+24
Step-by-step explanation:
FOIL the binomials and simplify
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