Consider \( f \), g and \( h \) be three real valued functions defined on \( R \).
Let \( f(x)=\... VIDEO
Consider \( f \), g and \( h \) be three real valued functions defined on \( R \).
Let \( f(x)=\left\{\begin{aligned}-1, & x0 \\ 0, & x=0, g(x)=x\left(1-x^{2}\right) \text { and } h(x) \text { be such that } \\ 1, & x0 \end{aligned}\right. \) \( h^{\prime \prime}(x)=6 x-4 \)
Also, \( h(x) \) has local minimum value 5 at \( x=1 \).
The equation of tangent at \( m(2,7) \) to the curve \( y=h(x) \), is
(a) \( 5 x+y=17 \)
(b) \( x+5 y=37 \)
(c) \( x-5 y+33=0 \)
(d) \( 5 x-y=3 \)
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