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

1. siddharth Group Title

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

2. msayer3 Group Title

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

3. msayer3 Group Title

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. superduper Group Title

thanks guys this is really helping

5. siddharth Group Title

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

6. msayer3 Group Title

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

7. bnut056 Group Title

12x^2+5