Let `f(x) = - x^2, xlt0 ; x^2 + 8, x geq 0` Equation of tangent line touching both branches of y = f(x) is

"Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0). Equation of tangent line touching both branches of y=f(x) is

Let f(x)={-x^2,for x x^2+8,for x geq 0 the x intercept of the line, that is, the tangent to the graph of f(x) , is zero (b) -1 (c) -2 (d) -4

Let f(x) = {-x^2 ,for x<0x^2+8 ,for xgeq0 Find x intercept of tangent to f(x) at x =0 .

Let f(x) = {-x^2 ,for x<0; x^2+8 ,for xgeq0 Find x intercept of the common tangent to f(x) .

Let f(x)=0 if xlt0,f(x)=x^(2) if xge0 , then for all x:

If f'(x)=1/(3-x)^2 , the equation of the tangent line to f(x) at (0, 1/3) is y=x/9+1/3 .

Consider f,g and h be three real valued functions defined on R. Let f(x)={:{(-1", "xlt0),(0", "x=0","g(x)(1-x^(2))andh(x) "be such that"),(1", "xgto):} h''(x)=6x-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

Consider f,g and h be three real valued functions defined on R. Let f(x)={:{(-1", "xlt0),(0", "x=0","g(x)(1-x^(2))andh(x) "be such that"),(1", "xgto):} h''(x)=6x-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

Consider f,g and h be three real valued functions defined on R. Let f(x)={:{(-1", "xlt0),(0", "x=0","g(x)(1-x^(2))andh(x) "be such that"),(1", "xgto):} h''(x)=6x-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