The answer is 123684 x 10^1. Hope i helped.(whatever comes after ^ is an exponent)
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
Answer:
3x (x-3)
Step-by-step explanation
3x^2 - 9x + 0
The equation.
3x^2 - 3^2 × x
What I did here is that I factored out 9x to 3^2 times x.
3x (3x^2 all over 3x - 3^2 × x/ all over 3x)
So that way I can divide the number in the parentheses by 3x to take 3x out of the parentheses to factor out.
3x (x^2-1 - (3^2-1) )
You simplify to get the final answer.
3x (x-3)
Final Answer.
I hope this helps!!!!
