If y = 10 x⁷ - 5x² - 12x-17; Find out dy/dx
Answers
Answer:
Simplifying
5x2 + -12x + -17 = 0
Reorder the terms:
-17 + -12x + 5x2 = 0
Solving
-17 + -12x + 5x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-1 + -1x)(17 + -5x) = 0
Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:
Simplifying
-1 + -1x = 0
Solving
-1 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1
Combine like terms: 0 + 1 = 1
-1x = 1
Divide each side by '-1'.
x = -1
Simplifying
x = -1
Subproblem 2
Set the factor '(17 + -5x)' equal to zero and attempt to solve:
Simplifying
17 + -5x = 0
Solving
17 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + -5x = 0 + -17
Combine like terms: 17 + -17 = 0
0 + -5x = 0 + -17
-5x = 0 + -17
Combine like terms: 0 + -17 = -17
-5x = -17
Divide each side by '-5'.
x = 3.4
Simplifying
x = 3.4
Solution
x = {-1, 3.4}
Step-by-step explanation:
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Answer:
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Step-by-step explanation: