Applications of...

Find slope of normal to the curve y=5x² -10x + 7 at x=1 ​

The equation of the tangent line to the curve y =  which is parallel to the line 4x -2y + 3 = 0 is ​

Find the equation of tangent to   which has slope 2.

If y = –sin2x. Find the values of x at which the tangents drawn to the graph of this function is parallel to the x- axis.

The normal at any point q to the curve x = a (cos q + q sin q), y = a (sin q –q cos q) is at distance from the origin that is equal to ….​

The equation of the normal to the curve x²  = 4y which passes through the point (1, 2) is.​

The curve y = ax³  + bx²  + cx + 5 touches the x-axis at P(-2, 0) and cuts the y-axis at the point Q where its gradient is 3. the equation of the curve is ….

If a, b are real numbers such that x³ -ax²  + bx –6 = 0 has its roots real and positive then minimum value of b is

The equation of tangent to the curve y = x³  + 2x + 6 which is perpendicular to the line x + 14y + 4 = 0 is :​

The equations of the tangents drawn to the curve y²  –2x³  –4y + 8 = 0 from the point (1, 2) is ….