If u(t)=sin(t), cos(4t), t > and v(t) = < t, cos(4t), sin(t) >, use the formula below to find the given derivative. [u(t) · v (t)] = u' (t) · v (t) + u(t) · v' (t) [u(t)- v (t)] = dt

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

A:

Q: Find the derivative of g u g(x) (2)=√1² +38 du u 5

A:

Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: f(x) = cos (x – a -2).

A:

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: Find the derivative of the function y = x2 Sin x - 2 Cos x.

A: y=x2sinx-2cosx

Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

A: