(e) If A(t) = 500 - (1.02)0.1+, find A'(t).

Q: Find the derivative

A: To calculate the derivative of f(x) at x =0

Q: 1. Find the first derivative of the given function given. a. y = sint cos t b. y = 6 tan(2n + 3x)

A: In this question we have to find the first derivate of the given function.

Q: State the derivative

A:

Q: Take the derivative of the following: Dy= 3xe y = e (3) e y = @y= In () 10 Y=ln (In x)

A:

Q: Find the derivative

A:

Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

Q: dy in terms of x and y, given that dx Find the derivative xye?y xyey = e3x – e7y %3D

A: Given function is xye7y=e3x-e7y. It can be written as: xy=e3xe7y-e7ye7yxy=e3x·e-7y-1xy=e3x-7y-1…

Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: 5. y = In tan (4 + 4 2

A:

Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

A: