Answers>Maths>A Level>Article

Find the derivative for y=5x^3-2x^2+7x-15

To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step.

So 5x³ would be differentiated to 15x². Repeat this for the other terms and you get -4x and +7 (since x¹ differentiates to x⁰which equals 1). Since -15 is not a term of x it differentiates to 0.

So this equations differentiates to 15x²-4x+7

Answered by Tanush M. • Maths tutor

5125 Views

See similar Maths A Level tutors

Find the derivative for y=5x^3-2x^2+7x-15

Related Maths A Level answers

sin(x)/(cos(x)+1) + cos(x)/(sin(x)+1) = 1

What is the signed area between the curve y = x^2 - 4 and the x-axis?

The curve C has equation 16y^3 + 9x^2y - 54x = 0 a)Find dy/dx in terms of x and y

Solve the integral: int(x^3+4x^2+sinx)dx.

Find the derivative for y=5x^3-2x^2+7x-15

Related Maths A Level answers

sin(x)/(cos(x)+1) + cos(x)/(sin(x)+1) = 1

What is the signed area between the curve y = x^2 - 4 and the x-axis?

The curve C has equation 16*y^3 + 9*x^2*y - 54*x = 0 a)Find dy/dx in terms of x and y

Solve the integral: int(x^3+4x^2+sinx)dx.

The curve C has equation 16y^3 + 9x^2y - 54x = 0 a)Find dy/dx in terms of x and y