The curve `f(x)=(x^2+a x+6)/(x-10)` has a stationary point at `(4,1)` . Find the values of `aa n db` . Also, show that `f(x)` has point of maxima at this point.

f(x)={cos(pix)/2,x >0 x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

f(x)={cos(pix)/2,x >0x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

Find the values of aa n db if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 is differentiable at x=1.

If the curve y=a x^2-6x+b pass through (0,2) and has its tangent parallel to the x-axis at x=3/2, then find the values of aa n dbdot

Find the values of aa n db if f(x)={a x^2+1,xlt=1 ,x^2+a x+b ,x >1"i s differentiable at"x=1

Show that the straight lines given by x(a+2b)+y(a+3b)=a for different values of aa n db pass through a fixed point.

Suppose that f is a polynomial of degree 3 and that f^(x)!=0 at any of the stationary point. Then f 1)has exactly one stationary point f 2)must have no stationary point f 3)must have exactly two stationary points f has 4)either zero or two stationary points.

Find the slope of the tangent line f(x)= 6x-1 at any point (x_(o), f(x_(o))

Find the values of x where function f(X) = (sin x + cosx)(e^(x)) in (0,2pi) has point of inflection

If the equation of the tangent to the curve y^2=a x^3+b at point (2,3)i sy=4x-5 , then find the values of aa n db .