Please solve the following questions.

If 72 + 2f(ac) + 22(f(2))" = 0 and f(1) = -4, find f'(1). f' (1) =Given that 4g(x) - 5x sin(g(x) ) = 64x2 + 16x - 15 and g( ? ) = 0, find g' ( ? ). g' (3 ) =Find an equation of the tangent line to the hyperbola defined by 5x2 + 4xy - 5y + 3x = 10 at the point (3, -2). The tangent line is defined by the equation .....Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 2(202 + 32)2= 25(202 - y?), (3, 1) YA _(lemniscate) O y =Use implicit differentiation to nd an equation of the tangent line to the curve at the given point. y2(y2 _ 4) = $2($2 _ 5), (012) 3' " _(devil's curve) (I x The curve With equation y2 = :53 + 123:2 is called a Tschirnhausen cubic. Find the equation of the tangent line to this curve at the point (4, 16). An equation of the tangent line to the curve at the point (4, 16) is f