# Calculus 1 help! Derivative equation.?

I have to calculate the 4th derivative of this equation:

f(x)=2x^4+3sin2x+(2x+1)^4 Then I have to find the value of the 4th derivative at π/12

*π=pi. Just for clarification

Update:

I took the derivative four times. I just wanted to check the answer I got (264) with someone else.

### 10 Answers

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- KYLv 79 years agoBest Answer
I got 456 as the answer; here's my work step-by-step.....

f(x)=2x^4+3sin2x+(2x+1)^4

f'(x) = 8x^3 + 8(2x+1)^3 + 6cos2x

f''(x) = 24x^2 + 48(2x+1)^2 - 12sin2x

f'''(x) = 48x + 192(2x+1) - 24cos2x

f''''(x) = 48 + 384 + 48sin2x = 432 + 48sin2x

f''''(π/12) = 432 + 48sin{2(π/12)}

f''''(π/12) = 432 + 48sin{π/6}

f''''(π/12) = 432 + 48(1/2)

f''''(π/12) = 432 + 24

f''''(π/12) = 456

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