Calculate the derivatives of the following functions:

Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: Calculate the derivative of the following functions

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Q: у?x3 — 7х %3D ysin(x + у)

A: The given equation is y2x3 - 7x = y sin(x+y) f(x,y) = y2x3 - 7x - y. sin(x+y)

Q: Find the derivatives of the following function.

A: Find the derivatives of the following function.

Q: calculate the derivative indicated. g"(1). g(s) =

A:

Q: calculate the derivative. h(t) = 5et−3

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Q: (iii) ソ=3-x?

A:

Q: Find the derivatives of the functions in Exercise

A: Given function is w=1z1.4+πz. To find the derivative of the functions.Solution: Power rule of…

Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is…

A: Follow the procedure given below.

Q: Calculate the derivative of the following functions

A:

Q: Find the derivative of the following functions.

A: Derivative of a function represents rate of change of that function.

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

A: 1.

Q: Evaluate the derivatives of the following functions.

A:

Q: Find the derivative of the following functions.

A: The given function is fx=xe-x

Q: g. y= e%

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

Q: Find the derivatives of the functions in Exercis

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Find the derivatives of the functions tan, cotan, sec, and cosec.

A: We know that (sin x)' = cos x(cos x)' = -sin x We will use the formulas uv' = vu'-uv'v2 Consider tan…

Q: Calculate the derivative of the following functions. y = x(x + 1)1/3

A: To find the derivative of the function  y=xx+113

Q: Find the derivative of the following function. h(w) = - 12+25 h'(w) =

A:

Q: Find the derivatives of the functions in Exercise

A: Given w=re-r

Q: Calculate the derivative.

A: Use the power rule and sum of derivative:

Q: Find the derivative of the function f(t) = arccsc(−t2)

A: Given function is ft=csc-1-t2 We have to find derivative of given function. Chain rule of…

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. y = 12 + 5

A:

Q: Find the derivative of the following function. y =2•5% y'%3D

A:

Q: Calculate the derivative of the following functions. #51

A: To evaluate the Derivativey=2ex+3e-x3

Q: Calculate the derivative of the following functions

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Q: Find the derivatives o

A: Here we solve first question for second question submit it again. Given: f(x)=x2+3x+7x5-3x2 To find:…

Q: Find the derivatives of the following functions.

A: We have,  y= x3arcCosx3Apply chain rule , y =uv = dudxv +dvdxudydx = d(x3)dxarcCosx3 +darcCosx3dx…

Q: Find the Derivative of each function

A: The given function is: Py=lnyey This can be written as: Py=e-y lny  To differentiate this, apply the…

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: Evaluate the derivatives of the following functions.

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: find and simplify the derivative of the following function.

A: The given function is h(x)=xexx+1. Product rule: uv'=u'v+v'u Quotient rule: uv'=vu'-uv'v2

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

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

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

A: there are only two derivatives of this function

Q: each

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

Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: (ii) y = etan 3x

A:

Q: f(x)=

A: we know derivative rules, Common Functions Function Derivative Difference Rule f - g f' − g'…

Q: Calculate the derivative of the following functions. y = (1 + 2 tan u)4.5

A: The given equation is y=1 + 2 tan u4.5.

Q: Find the derivative of each of the following functions

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Q: (iv) y = (In x)ª

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Q: Calculate the derivative. h(t) = 5et−3

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Q: Find the derivatives of the following functions. x(1+x*)

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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: Find the derivatives of the following.

A:

Q: Find the derivative E

A: The derivative of given expression is f(x)=x2+4=ddx(x2+4)12 =12(x2+4)-12(2x) =x(x2+4)=

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: