Differentiate x^2+4x+9.

To differentiate you must look at each term separately. So for x^2 to differentiate we bring the two down to multiply in front of the x and then take one away from the power leaving 2x. For 4x, x is to the power of one so we bring the one down and take one away from the power. This makes 4x^0 and anything to the power of 0 (in this case it's x which is to the power of 0) makes 1. So the second term is 4*1=4. For the third term there is no x so to differentiate we get rid of it completely so the final answer is 2x+4.

IW
Answered by Iman W. Maths tutor

5380 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

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.


The mass, m grams, of a substance is increasing exponentially so that the mass at time t hours is m=250e^(0.021t). Find the time taken for the mass to double in value.


Find values of y such that: log2(11y–3)–log2(3) –2log2(y) = 1


Find ∫(8x^3+6x^(1/2)-5)dx Give your answer in the simplest form.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences