1. Use logarithmic differentiation to find the derivative of y=(sinx)^cosx 2. A particle is moving along the number line; its position at seconds is given by s(t)=t^4-8t^2 + 5 . Assume that the particle starts moving when t=0 (a) Find functions for velocity and acceleration. (b) When is the particle moving in the negative direction? (c) Find the total distance traveled during the first 5 seconds. (d) At t=0 second, is the particle speeding up, or slowing down?
1. Use logarithmic differentiation to find the derivative of y=(sinx)^cosx 2. A particle is moving along the number line; its position at seconds is given by s(t)=t^4-8t^2 + 5 . Assume that the particle starts moving when t=0 (a) Find functions for velocity and acceleration. (b) When is the particle moving in the negative direction? (c) Find the total distance traveled during the first 5 seconds. (d) At t=0 second, is the particle speeding up, or slowing down?
1. Use logarithmic differentiation to find the derivative of y=(sinx)^cosx 2. A particle is moving along the number line; its position at seconds is given by s(t)=t^4-8t^2 + 5 . Assume that the particle starts moving when t=0 (a) Find functions for velocity and acceleration. (b) When is the particle moving in the negative direction? (c) Find the total distance traveled during the first 5 seconds. (d) At t=0 second, is the particle speeding up, or slowing down?
1. Use logarithmic differentiation to find the derivative of y=(sinx)^cosx
2. A particle is moving along the number line; its position at seconds is given by s(t)=t^4-8t^2 + 5 . Assume that the particle starts moving when t=0
(a) Find functions for velocity and acceleration.
(b) When is the particle moving in the negative direction?
(c) Find the total distance traveled during the first 5 seconds.
(d) At t=0 second, is the particle speeding up, or slowing down?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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