我的绝妙的 padlet的复制 by

2.1-2.5

yifanzhang2024 — 2023-11-28 13:49:32 UTC

yifanzhang2024 — 2023-11-28 13:49:32 UTC

Evaluate the derivative of f(x) = 3x^-10 + x⁵ - 5x² - x^-1 + 10 using the power rule.

yifanzhang2024 — 2023-11-28 13:49:32 UTC

f'(x) = d(3x^-10 + x⁵ - 5x² - x^-1 + 10)/dx

= 3d(x^-10)/dx + d(x⁵)/dx - 5d(x²)/dx - d(x^-1)/dx + d(10)/dx

= f'(x) = -30x^-11 + 5x⁴ - 10x + x^-2

yifanzhang2024 — 2023-11-28 13:49:32 UTC

Use the product rule to find the following derivatives.

y = e^xsin(x)

yifanzhang2024 — 2023-11-28 13:49:32 UTC

Let f(x) = e^x and g(x) = sin(x), then apply the product rule:

yifanzhang2024 — 2023-11-28 13:49:32 UTC

Is g(x)=ln(sin(x)) a composite function? If so, what are the "inner" and "outer" functions?

yifanzhang2024 — 2023-11-28 13:49:32 UTC

yifanzhang2024 — 2023-11-28 13:49:32 UTC

Use the quotient rule to find the following derivatives.

yifanzhang2024 — 2023-11-28 13:49:32 UTC

yifanzhang2024 — 2023-11-28 13:49:32 UTC

The position of a particle on a line is given by s(t) = t ³ − 3 t ² − 6 t + 5, where t is measured in seconds and s is measured in feet. Find

The velocity of the particle at the end of 2 seconds.

yifanzhang2024 — 2023-11-28 13:49:32 UTC