Solution :
The equation of the given curve is
y = −5x2+6x+7
⟹ dydx = -10x + 6
⟹ (dydx)(1/2,35/4) = −104 + 6 = 1
The required equation at (1/2, 35/4) is
y – 354 = (dydx)(1/2,35/4) (x–12)
⟹ y – 35/4 = 1(x – 1/2)
⟹ Equation of tangent is y = x + 33/4
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