What is the maximum number of turning points the function f(x)=7x^5+6x^3-4x^2+1 , can have
1 answer:
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Answer:
- 1/64 (x+4)² (x-3) (x-4) = 0
Step-by-step explanation:
f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis
x=0 f(x) = -3
a (4)² * (-3) * (-4) = -3
a = - 1/64
- 1/64 (x+4)² (x-3) (x-4) = 0
ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,
Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,
Now we apply the property of the logarithm of a power,
In our equation,
Then divide both sides by 4 and solve,
The solution to this equation is x = 1.2226, rounded to four decimal places.