Find the derivative for the following functions: To make grading easier, please enter the derivative for each individual term in its own box in the order it was given a) f(x) = -2log<sub>7</sub>x + 8x<sup>2</sup> + ?x f'(x) = b) y=2-7ln x - \frac{2}{x<sup>8</sup>} \frac{dy}{dx} = c) g(x) = -2x<sup>-2.8</sup> - 2 \cdot 6<sup>x</sup> + 3x<sup>-7</sup> g'(x) = d) y = 8e<sup>x</sup> + ?x + \frac{2}{x} y=
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Step 1: a) f(x) = -2log7x + 8x2 + √x f'(x) = -2/xln7 + 16x + 1/2√x b) y=2-7ln z 2 28 Show more…
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12. Find the derivative of each function. Do not simplify your answers. a) y = ln(5x^2 - x + 8) b) f(x) = (6x^4 - 7x) / (x^2 + 5) c) y = x^5 * e^(3x-4) d) f(x) = sqrt(5 - 6e^(2x)) e) y = (8^x) / (cuberoot(2x))
Adi S.
Compute the derivative of the following functions (You may use any method from class, and you do not need to simplify your answer):
1. Find the derivative for the function f(x) = 2e^x - 8^x 2. Find the derivative for the function f(z) = z^5 - e^z ln z 3. Find the tangent line to f(x) = 7^x + 4e^x at x = 0 4. Determine if G(z) = (z - 6)ln z is increasing or decreasing at the following points. (a) z=1 (b) z=5 (c) z=20 5. Find the derivative for the function f(x) = (x + 1)^x 6. Find the derivative for the function f(x) = (x)^{x+1} 7. Find the derivative for the function f(x) = (sqrt{x})^x 8. Find dy/dx for sqrt{3x^2 + 1}(3x^4 + 1)^3 9. Find dy/dx for y = 3x^{3x}
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