a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv) f(x) = logs x %3D b) Find the derivative of each the following Trigonometric Functions. cos.x-1 (i) F(x)=. X 3 (ii)f (x) = 4sin³x + 4cos³x

Q: Use standard derivatives and differentiation rules to find for each of the following. dx If…

A: We have to find derivative

Q: 1. a) Copy and complete the table below: Original Function First derivative Second Derivative f(t)=…

A: Original Functionf(t)=5t−3−5e0=5t3−5f(z)=ln100h(p)=−2e1−pFirst Derivative…

Q: derivatives of the following functions.   a)      exp(3x2)

A: a) Given function is e3x2.

Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

A:

Q: 2. Find the derivative of the following functions: (a) g (0) = 77² (sec 0 - sin 20)²

A:

Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

A:

Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

A:

Q: If possible please answer all questions. Find the derivative:  1) y=cos-1(1/x) 2)?=cot-1(√x-1) 3)…

A: Find the derivatives

Q: A student incorrectly evaluated the derivative of f(x) = as f'(x) = %3D Væ + sin(x) -1/2 + cos(x)…

A:

Q: 1-cos 4x Find the derivative of y sin 4x

A:

Q: use the Chain rule to find derivative: a) y = cot(412 +9) b) y = y = cos (e?) c) d) y = cos(x²) +1…

A: Solve the givens

Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

A: