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Magazine Problem 185
For the following exercises, find the equation of the tangent line to each of the given functions at the indicated values of \(x .\) Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$[\mathbf{T}] f(x)=-\sin x, x=0$$
Problem 185
Find the equation of the tangent line to each of the given functions at the indicated values of \(x\). Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$ f(x)=-\sin x, x=0 $$
Problem 186
For the following exercises, find the equation of the tangent line to each of the given functions at the indicated values of \(x .\) Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$[\mathbf{T}] f(x)=\csc x, x=\frac{\pi}{2}$$
Problem 186
Find the equation of the tangent line to each of the given functions at the indicated values of \(x\). Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$ f(x)=\csc x, x=\frac{\pi}{2} $$
Problem 187
Find the equation of the tangent line to each of the given functions at the indicated values of \(x\). Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$ f(x)=1+\cos x, x=\frac{3 \pi}{2} $$
Problem 187
For the following exercises, find the equation of the tangent line to each of the given functions at the indicated values of \(x .\) Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$[\mathbf{T}] f(x)=1+\cos x, x=\frac{3 \pi}{2}$$
Problem 188
Find the equation of the tangent line to each of the given functions at the indicated values of \(x\). Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$ f(x)=\sec x, x=\frac{\pi}{4} $$
Problem 188
For the following exercises, find the equation of the tangent line to each of the given functions at the indicated values of \(x .\) Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$[\mathbf{T}] f(x)=\sec x, x=\frac{\pi}{4}$$
Problem 190
For the following exercises, find the equation of the tangent line to each of the given functions at the indicated values of \(x .\) Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$[\mathbf{T}] f(x)=5 \cot x x=\frac{\pi}{4}$$
Problem 190
Find the equation of the tangent line to each of the given functions at the indicated values of \(x\). Then use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. $$ f(x)=5 \cot x x=\frac{\pi}{4} $$
