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Popular >

f(x)=(2x-3)^5(x^2+4x)^6

Solution

f (x) = (2 x - 3)^{5} (x^{2} + 4 x)^{6}

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (- 4, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 4, 0), Minimum (- \frac{13 + 781}{17}, \frac{1 1 ^{10} \cdot 32934190464 781 + 7 7 ^{5} \cdot 3.19005 E 16 781 + 6 6 ^{5} \cdot 4540901571360 781 + 781 \cdot 4.82581 E 26 + 1.62322 E 28 - 1 1 ^{11} \cdot 784147392 - 7 ^{11} \cdot 3.57951 E 18 - 6 6 ^{6} \cdot 741493082 781 - 4 2 ^{6} \cdot 3.53232 E 17 781 - 6 6 ^{6} \cdot 18019450680 - 4 2 ^{6} \cdot 8.5841 E 18 - 7 7 ^{5} \cdot 1.24408 E 17}{28 9 ^{6} \cdot 1419857}), Maximum (0, 0), Minimum (\frac{- 13 + 781}{17}, \frac{6 6 ^{6} \cdot 741493082 781 + 4 2 ^{6} \cdot 3.53232 E 17 781 + 1.62322 E 28 - 1 1 ^{11} \cdot 784147392 - 7 ^{11} \cdot 3.57951 E 18 - 1 1 ^{10} \cdot 32934190464 781 - 6 6 ^{6} \cdot 18019450680 - 4 2 ^{6} \cdot 8.5841 E 18 - 7 7 ^{5} \cdot 1.24408 E 17 - 7 7 ^{5} \cdot 3.19005 E 16 781 - 6 6 ^{5} \cdot 4540901571360 781 - 781 \cdot 4.82581 E 26}{28 9 ^{6} \cdot 1419857}), Saddle (\frac{3}{2}, 0)

+1

Solution steps

Domain of

(2 x - 3)^{5} (x^{2} + 4 x)^{6} : - \infty < x < \infty

Range of

(2 x - 3)^{5} (x^{2} + 4 x)^{6} : - \infty < f (x) < \infty

Axis interception points of

(2 x - 3)^{5} (x^{2} + 4 x)^{6} :

X Intercepts

: (0, 0), (- 4, 0), (\frac{3}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(2 x - 3)^{5} (x^{2} + 4 x)^{6} :

None

Extreme Points of

(2 x - 3)^{5} (x^{2} + 4 x)^{6} :

Maximum

(- 4, 0),

Minimum

(- \frac{13 + 781}{17}, \frac{1 1 ^{10} \cdot 32934190464 781 + 7 7 ^{5} \cdot 3.19005 E 16 781 + 6 6 ^{5} \cdot 4540901571360 781 + 781 \cdot 4.82581 E 26 + 1.62322 E 28 - 1 1 ^{11} \cdot 784147392 - 7 ^{11} \cdot 3.57951 E 18 - 6 6 ^{6} \cdot 741493082 781 - 4 2 ^{6} \cdot 3.53232 E 17 781 - 6 6 ^{6} \cdot 18019450680 - 4 2 ^{6} \cdot 8.5841 E 18 - 7 7 ^{5} \cdot 1.24408 E 17}{28 9 ^{6} \cdot 1419857}),

Maximum

(0, 0),

Minimum

(\frac{- 13 + 781}{17}, \frac{6 6 ^{6} \cdot 741493082 781 + 4 2 ^{6} \cdot 3.53232 E 17 781 + 1.62322 E 28 - 1 1 ^{11} \cdot 784147392 - 7 ^{11} \cdot 3.57951 E 18 - 1 1 ^{10} \cdot 32934190464 781 - 6 6 ^{6} \cdot 18019450680 - 4 2 ^{6} \cdot 8.5841 E 18 - 7 7 ^{5} \cdot 1.24408 E 17 - 7 7 ^{5} \cdot 3.19005 E 16 781 - 6 6 ^{5} \cdot 4540901571360 781 - 781 \cdot 4.82581 E 26}{28 9 ^{6} \cdot 1419857}),

Saddle

(\frac{3}{2}, 0)

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Frequently Asked Questions (FAQ)

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