Questions from General Calculus

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = ln(cos t)

Q: Using data collected from 1929 to 1941, Richard Stone determined that

Using data collected from 1929 to 1941, Richard Stone determined that the yearly quantity Q of beer consumed in the United Kingdom was approximately given by the formula Q = f (m, p, r, s), where f...

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = ln(sin 2t)

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = sin(ln t)

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = (cos t) ln t

Q: Find the slope of the line tangent to the graph of y

Find the slope of the line tangent to the graph of y = cos 3x at x = 13π/6.

Q: Find the slope of the line tangent to the graph of y

Find the slope of the line tangent to the graph of y = sin 2x at x = 5 π/4.

Q: Find the equation of the line tangent to the graph of y

Find the equation of the line tangent to the graph of y = 3 sin x + cos 2x at x = π/2.

Q: Find the equation of the line tangent to the graph of y

Find the equation of the line tangent to the graph of y = 3 sin 2x - cos 2x at x = 3 π/4.

Q: Find the following indefinite integrals. ∫cos 2x dx

Find the following indefinite integrals. ∫cos 2x dx