To calculate the gradient of the curve y = 5x^3 when x = 1.5, we first need to find the derivative of the function.

The derivative of y = 5x^3 is given by the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

So, the derivative of y = 5x^3 is dy/dx = 15x^2.

Next, we substitute x = 1.5 into the derivative to find the gradient of the curve at that point.

So, dy/dx = 15*(1.5)^2 = 15*2.25 = 33.75.

Therefore, the gradient of the curve y = 5x^3 when x = 1.5 is 33.75.

Question

To calculate the gradient of the curve y = 5x^3 when x = 1.5, we first need to find the derivative of the function.

The derivative of y = 5x^3 is given by the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

So, the derivative of y = 5x^3 is dy/dx = 15x^2.

Next, we substitute x = 1.5 into the derivative to find the gradient of the curve at that point.

So, dy/dx = 15*(1.5)^2 = 15*2.25 = 33.75.

Therefore, the gradient of the curve y = 5x^3 when x = 1.5 is 33.75.

Knowee AI · Accepted Answer

To calculate the gradient of the curve y = 5x^3 when x = 1.5, we first need to find the derivative of the function.

The derivative of y = 5x^3 is given by the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

So, the derivative of y = 5x^3 is dy/dx = 15x^2.

Next, we substitute x = 1.5 into the derivative to find the gradient of the curve at that point.

So, dy/dx = 15*(1.5)^2 = 15*2.25 = 33.75.

Therefore, the gradient of the curve y = 5x^3 when x = 1.5 is 33.75.

alculate the gradient of the curve y = 5x3 when x = 1.5.