A curve with equation of the form `y=a x^4+b x^3+c x+d` has zero gradient at the point `(0,1)` and also touches the `x` -axis at the point `(-1,0)` then `a=3` b. `b=4` c. `c+d=1` d. for `x<-1` , the curve has a negative gradient

A curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gradient at the point (0,1) and also touches the x -axis at the point (-1,0) then a=3 b.b=4 c.c+d=1 d.for x<-1, the curve has a negative gradient

A curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gradient at the point (0,1) and also touches the x-axis at the point (-1,0) then a=3 (b) b=4c+d=1 for x<-1, the curve has a negative gradient

A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradient at the point (0,1) and also touches the x- axis at the point (-1,0) then the value of x for which the curve has a negative gradient are:

A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradient at the point (0,1) and also touches the x- axis at the point (-1,0) then the value of x for which the curve has a negative gradient are: xgeq-1 b. x<1 c. x<-1 d. -1lt=xlt=1

A curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gradient at the point (0,1) and also touches the x- axis at the point (-1,0) then the value of x for which the curve has a negative gradient are: a.x>=-1 b.x<1 c.x<-1 d.-1<=x<=1

Let the parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0). Then a+b+c=0a+b=2b-c=1(d)a+c=-2

The equation of the tangent to the curve y=sec x at the point (0,1) is (a) y=0 (b) x=0 (c) y=1 (d) x=1

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these

The curve given by x+y=e^(x y) has a tangent parallel to the y - axis at the point (0,1) (b) (1,0) (c) (1,1) (d) none of these

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these