Consider the following cubic function f(x)=360x3−1836x2+2430xAnswer the following questions:a) What is the derivative of the function f(X)? b) Determine the value of the slope to the tangent line to f at its relative minimum point? c) Find the interval where f decreases. d) What is the relative maximum value of the function f ? e) On what interval does the function f Is it concave upwards? f) At what point on the curve f Is the slope of the tangent line minimum?
Consider the following cubic function f(x)=360x3−1836x2+2430xAnswer the following questions:a) What is the derivative of the function f(X)? b) Determine the value of the slope to the tangent line to f at its relative minimum point? c) Find the interval where f decreases. d) What is the relative maximum value of the function f ? e) On what interval does the function f Is it concave upwards? f) At what point on the curve f Is the slope of the tangent line minimum?
Consider the following cubic function f(x)=360x3−1836x2+2430xAnswer the following questions:a) What is the derivative of the function f(X)? b) Determine the value of the slope to the tangent line to f at its relative minimum point? c) Find the interval where f decreases. d) What is the relative maximum value of the function f ? e) On what interval does the function f Is it concave upwards? f) At what point on the curve f Is the slope of the tangent line minimum?
Consider the following cubic function f(x)=360x3−1836x2+2430x Answer the following questions: a) What is the derivative of the function f(X)?
b) Determine the value of the slope to the tangent line to f at its relative minimum point?
c) Find the interval where f decreases.
d) What is the relative maximum value of the function f ?
e) On what interval does the function f Is it concave upwards?
f) At what point on the curve f Is the slope of the tangent line minimum?
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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