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Magazine Problem 301
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=x \ln (x)\)
Problem 302
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\log _{10} x\)
Problem 303
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\ln (\sin x)\)
Problem 304
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\ln (\ln x)\)
Problem 305
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=7 \ln (4 x)\)
Problem 306
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\ln \left((4 x)^{7}\right)\)
Problem 307
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\ln (\tan x)\)
Problem 308
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\ln (\tan (3 x))\)
Problem 309
For the following exercises, find the derivative dy/dx. (You can use a calculator to plot the function and the derivative to confirm that it is correct.) [T] \(y=\ln \left(\cos ^{2} x\right)\)
Problem 310
For the following exercises, find the definite or indefinite integral. $$\int_{0}^{1} \frac{d x}{3+x}$$
