A curve has equation 2(x^2)+3x+10. What is the gradient of the curve at x=3

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Find the derivative of x^3 - (y^2)x =3


A curve has parametric equations x = 2 sin θ, y = cos 2θ. Find y in terms of x


4^x - 2^x+1 - 15 = 0


The curve C has equation: (x-y)^2 = 6x +5y -4. Use Implicit differentiation to find dy/dx in terms of x and y. The point B with coordinates (4, 2) lies on C. The normal to C at B meets the x-axis at point A. Find the x-coordinate of A.


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