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Differentiate x^3+ x^2+2=y

This equals to dy/dx= 1/3 x²+1/3 x¹This is because we divide by the power and then minus one from the powerSo it becomes x^3-1/3 which can be simplified to 1/3 x²

Answered by Vera I. • Maths tutor

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find the derivative of f(x) = x^3 + 2x^2 - 5x - 6. Find all stationary points of the function.

Calculate the derivative using the standard rules, in particular (xⁿ)' = nx^n-1.f(x)' = 3x² + 4x - 5Stationary points are...

Answered by Gustas M. • Maths tutor

4180 Views

Show how you can rewrite (x+1)(x-2)(x+3) into the form of ax^3 + bx^2 + cx + d

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x²- x - 2, then multiply the resul...

Answered by Gustas M. • Maths tutor

3344 Views

Find the solutions of the equation: sin(x - 15degrees) = 0.5 between 0<= x <= 180

Consider a sin graph and all the points on the graph which are equal to 0.5. You'll find that, between one period of a positive sin graph, invsin(0.5) may equal 30 degrees or 150 degrees.
The equati...

Answered by Mahir T. • Maths tutor

3784 Views

What is differentiation?

Differentiation is a way of measuring a rate of change. Formally, we can look at two points on a curve and as an example, I would use the x^2 curve. We can plot on a point (x,x^2) and a point (x+h, (x+h)^...

Answered by Ivana T. • Maths tutor

2820 Views