What is the slope of (x^2-8)^4,\at x=3 ?

The slope of (x^2-8)^4,\at x=3 is 24

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slope of (x^2-8)^4,\at x=3

slope

(x^{2} - 8)^{4}, at x = 3

24

Solution steps

y = (x^{2} - 8)^{4}

In order to find the slope of the function, take the derivative of

(x^{2} - 8)^{4}

\frac{d}{d x} ((x^{2} - 8)^{4}) = 8 x (x^{2} - 8)^{3}

8 x (x^{2} - 8)^{3}

Find the value of

8 x (x^{2} - 8)^{3}

for

x = 3 : 24

24

f (x) = 7 + 4 x^{2} - 2 x^{3}, at x = 1

\frac{d}{d x} (c e^{x} + c e^{- x})

\frac{d}{d x} (\frac{x}{x - 1})

\int x^{3} (1 + 9 x^{4}) d x

\frac{d}{d x} (1 - cos (2 x) + 2 cos^{2} (x))