Use the chain rule to find the following derivatives: d 2. - (0²³² - 4x + 3) = [ a. @+³ 5 dx d b. - [ a 1 (100.00 dt C. dt 2000e0.06t -

Q: ind the derivative. FA h Cx) = 2. (5x*+4

A: To find  The derivative of h(x)

Q: given by the equation Зс + 9c² 8c - t = ln 2 Calculate the derivative oft with respect to c and…

A:

Q: d -[x*] = xx"-1 dx

A:

Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

A:

Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: S-2(x-1 - x²) dx 5.

A:

Q: Find all derivatives of the function y=1/1−5x.

A: Given function is Differentiating both sides with respect to x ,repeatedly, we get In general, nth…

Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

Q: A2. Find the third order de a. F(x) = 3x³ - 5x + 1 Y=3t+2et b. c. Find the Inverse F

A:

Q: take the derivative. бх —5 y = - x² +1

A: Consider the given function as y=6x-5x2+1

Q: - [5√3x d dx

A:

Q: 2. у %3D 3 + 4x — х?

A: We can find the answer as below

Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: Find the first derivative. x= -6t + 4t+ 1 xp dt

A:

Q: nd the derivati

A: Here we have to find the derivative of  y=(3x5-2)13  differentiate with respect to x…

Q: 22. y = sec 4(4+x³) 5

A:

Q: 5. Calculate the second order derivatives and for the following: ay 3-

A:

Q: y = 5v 3vã х

A:

Q: Find the derivative. d. (in (5x? + 2))

A: We have to find out the derivate of given function

Q: 19 -e 8x + · -2x y = c¡e¬* + c2e¯ xe8x %3D 8100 90

A:

Q: a. (In(x² − 3x + 1)) = = b. — (In(ex + 5x)) = d a + (n (+)) = [ C. dx +1 Hint: Use properties of…

A: