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

Q: Find the derivative of the function. t3 2 h(t) : to + 3 h'(t) =

A: Given function: Used formulas: Chain rule of differentiation, Quotient rule of differentiation,…

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Calculate the derivative of the following functions. y = (3x2 + 7x)10

A:

Q: Calculate the derivative of the following functions

A: We first expand the inside of the function.

Q: Find the derivative of w = (2² - 8²)* du = dz

A:

Q: Calculate the derivative of the following functions. y = cos7/4(4x3)

A: We use the power rule and chain rule to find the first derivative.

Q: Find the derivative of the function. (S h(x) = %3D 8x2 + 9

A:

Q: Use the quotient rule to find the derivative of the following. (4x? + 2) (3x + 7) y%3D 8x- 9

A: To Find: Derivative of y

Q: Calculate the derivative of the following functions. y = (x2 + 2x + 7)8

A:

Q: Determine the derivative of the following functions. 1. у — (4х — 5) e 2. y = 3x a(5x²–3x+7)

A: 1.

Q: Find the derivative of the following function. 9e7x y = 7x-3 y'(x) =O

A:

Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: Find the derivative of the following function. 4e 4x y = 5x-2 y'(x) =D %3D

A:

Q: Find the derivative of the function. h(t) = t2(3t + 7)3

A:

Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: Find the second derivative of the function F(t) = 5tsin(r³).

A:

Q: Find the derivative of the function.

A: Given function is gt=lntt2. To find the derivative of the function. Solution: Quotient rule of…

Q: Find the derivative of the following functions: 3) y = x2/3 + etanx + 6csc2x

A: We have to find the derivative of the function…

Q: Find the derivative of the given function.     y=x^(11/5)

A: (d/dx)(x^n)=nx^(n-1)

Q: Find the derivative of the function.

A:

Q: Use the definition of the derivative to find the derivative of: f(t) = –14 – 9t.

A:

Q: Find the derivative respect to x of the following equation and simplify: 2xy + y2 e3x = 1

A:

Q: Find the derivatives of the functions y = 92t

A: The function is y=92t.   Differentiate the function with respect to t. dydt=ddt92t=92ddtt=92

Q: Find the derivative of the function. 4 e W 7w dr dw %3D

A: We have to find the derivative of the given function

Q: Find the derivative of the function. 8t? f(t): V 5t2 + 4t - 1

A:

Q: Calculate the derivative of the following function. y (3x-14) dy xp %3D

A: We have to find derivative

Q: Find the derivative of the followi (a) x = t2 + 5t + 4, y = 4t

A:

Q: Find the derivative of the following function. y = (4t – 1)(5t - 6)1

A: y=(4t-1)(5t-6)-1

Q: Find the derivative of the following functions.  Y=10^(6x+7)

A:

Q: What is the derivative of ( 6 t cott−4e^t)

A:

Q: Find the derivative of the following function. -9e 5x y= 4x + 3 y'(x) =

A:

Q: 2 X xVx? +1 %3D 2 X+ 3

A:

Q: Find the derivative of the following equations 1. y = Va? + x²

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivative, but do not simplify your answer. y = (x? + x + 2)(Vx - 2Vx +9)

A:

Q: Find the derivative of the following function. 6. m(t) = – 2t (3t“ – 1) " m'(t) =

A:

Q: Calculate the derivative of the following functions

A: given function y=3x4x+25we have to calculate the derivative of the given function:

Q: 3at? y=- 1+t? Зat X=- 1+t?

A:

Q: Calculate the derivative of the following functions

A: Given, y=e2x2x-75 Now by using the product rule, fg'=f'g+g'f Here, f=e2x &…

Q: Find the derivative of the following function: y=x(x2+2)(x3−3).

A: Given function is y=xx2+2x3-3. Power rule of differentiation states that: ddxxn=nxn-1 Product rule…

Q: Find the derivative of the following function. -9e 9x y = 8х - 3 y'(x) =

A:

Q: Find (a) the derivative , y = dy 4 -32x

A:

Q: What is the derivative of y = (a^3 - 25)/ (a^2 +5a +25)

A: we have to find the derivative of the given expression    the given expression is…

Q: こ2e

A: The function given to us is  f(x)=2e4x-1

Q: У — Xsec х? y x2

A: I have mentioned all explanations which I have used during finding derivation of y... Go through the…

Q: State the derivative of the following functions a) y = -x* 2. b) y = c) y = 2cos(x²)

A: Authoring guidelines:…

Q: Calculate the derivative indicated.

A:

Q: Find the derivative of the following: w = (t3 + 5t)(t2 − 7t + 2)

A: We hve to differentiate  function f(t) where f(t) is given.After expanding f(t) we found new f(t)…