## anonymous 5 years ago What is the derivative of 4x^3 + 5x + 10? I'm just starting calc.

1. siddharth

Derivative of an expression of the form of $ax^n$ is $nax^{n-1}$

2. anonymous

$(4\times3)x^{3-1} + (5\times1)x ^{1-1}$

3. anonymous

the basic rule of derivative applies - where you take the exponent and multiply that to coefficient. Exponent you originally have will be subtracted by 1 which results in x^2 and x^0 term above.

4. anonymous

thanks guys this is really helping

5. siddharth

also, d(x+y) = d(x) + d(y)

6. anonymous

be sure to practice - that way you understand the application of the rule

7. anonymous

12x^2+5