Differentiate y = 15x^3 + 24x^2 + 6 with respect to x.
To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x2 differentiated is 2 x 4x2-1 = 8x. So, splitting this problem into parts, 15x3 differentiated is 3 x 15x3-1 = 45x2, and 24x2 differentiated is 48x. 6 doesn't involve x so it cannot be differentiated with respect to it. Hence, dy/dx = 45x2 + 48x.
DM
Related Maths A Level answers
All answers ▸Differentiate: y = 3x^2 + 4x + 1 -4x^-1
The gradient of a curve is given by dy/dx = 3 - x^2. The curve passes through the point (6,1). Find the equation of the curve.
How do I integrate 3^x?
Use implicit differentiation to find dy/dx of a curve with equation x^3 + yx^2 = y^2 + 1.