Question

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

Answer 1

Derivative of an expression of the form of
\[ax^n\]
is \[nax^{n-1}\]

Answer 2

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

Answer 3

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.

Answer 4

thanks guys this is really helping

Answer 5

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

Answer 6

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

Answer 7

12x^2+5