Differentiate the function P = e-0.9t. P =|

Q: Differentiate the function.

A: We will use the chain rule

Q: hè upward velóčity óf

A: Given :-  The upward velocity of a rocket is given as a function of time. t  s v t  0 0 10…

Q: Find the average rate of change of f(x) interval [3, a]. Your answer will be an expression involving…

A:

Q: リ 「h (ex+Xe

A:

Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: approximate using linearization and use a calculator to compute the percentage error. e^−0.012

A:

Q: Find the mean value of the function y = 4cos x on the interval 0,

A:

Q: Find the average rate of change of f(x) 82? 9 on the interval 3, b. - Your answer will be an…

A:

Q: Find the average rate of change of f(x) = 3x² – 9 on the interval [3, a]. Your answer will be an…

A: The average rate of change of function over an interval [a,b] is given by  f(b)-f(a)b-a

Q: 6. Find the relative extrema of f.

A: To find the critical points we first find f'(x) f(x)=x-9xf'(x)=1+9x2

Q: d (x+;

A: Here we use chain rule of differenciation.

Q: Describe about F s e Test for Simple Effects.

A: Simple effects (sometimes called simple main effects) are variations within the design between…

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

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

Q: Find the average rate of change of g (x) = -x* +4x+2 from x = 3 to x = 7. Simplify your answer as…

A: See picture added

Q: Find the average rate of change of f(x) 7x-8 on the interval 1, a. Your answer will be an expression…

A:

Q: Differentiate the function R(q) = q° – 2 ln q. - R'(q)

A: Given : R(q) = q6 - 2ln q

Q: uppose ƒ (x) = mx + b and g (x) = mx2 + b. Find the average rate of change of each function on the…

A:

Q: find the average rate of change of f(x)=2x^2+2 between the points (2,10) and (5,52).

A:

Q: Find the average rate of change of f(x)=2x^2−3 on the interval [3,a] Your answer will be an…

A: We have the given function as f(x)=2x2−3   We have to find the average rate of change of f(x) on…

Q: Find the net change and the average rate of change of f between x -5 and x = 6.

A: We have given the graph;

Q: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: Find the average rate of change of f(x) = 6x Your answer will be an expression involving b. 8 on the…

A: Follow the steps.

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: Find the average rate of change for the function between the given values. 17) f(x) = x2 + 6x; from…

A: Given function f=x2+6x ; given interval [5,9] The average rate of  change of the function f(x) on…

Q: Find the Average rate of change of the function f(x)=x² – 3.x- 2 on [-2, 4]

A:

Q: Differentiate the function.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: A tennis ball bounces up from a racket, the height of of the ball is h(t) = 45t – 9.8t meters above…

A: We have to find the average velocity of the tennis ball in given time range. In this question we…

Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: What is the average rate of change for the function f(x) = = - x2 + x- 5 over the interval 1 < x <…

A: Topic-average rate of change function

Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: Differentiate the function R(q) = q° - 3 ln q. R'(q) =

A: Topic - derivative of a function

Q: Differentiate the function. y= xcosx

A: Consider the given function, y=xcosx take natural log both sides of the equation,…

Q: Differentiate. f(x) = excosx

A: Given: fx=excosx we know that ddxu.v=vdudx+udvdx                                              ..1

Q: 10. g(t) = V1+ In(t)

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

Q: Find the average rate of change of f(x) = 4x² – 7 on the interval [1, 6]. Your answer will be an…

A:

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: Find the average rate of change of f(x) = 6x? - 2 on the interval (3, a].

A:

Q: Use the position function below to solve the following problem. A projectile is fired vertically…

A:

Q: Find the average rate of change of the function from x1 to x2. Function x-Values f(x) = -3x3 + 3x? +…

A: Recall: Average Rate of Change of a Function :        Ax=f(b)-f(a)b-a; where , f(a) and f(b) are the…

Q: Find the average rate of change of f from 3 to 8. f(x)=-2x^2+4x

A: Given function is

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: Differentiate the function with respect to the independent variable. h(t) = t - 7t+2 h'(t) =O

A: Given function, h(t)=92t2-7t+2

Q: A tennis ball bounces up from a racket, the height of of the ball is h(t) = 45t - 9.8t meters above…

A:

Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: Describe how to detumine the rate of Change between X = 1 and X - 3 for the function flx) = 3x3+1.…

A:

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Given:- F(x) = 21/√x To find:-  (a) increasing (b) decreasing. (c) where the relative extrema occur.…

Q: 4. Differentiate the function. y = x*

A: Given : y=xx