Use the Fundamental Theorem of Calculus to find the derivative of .5 x5 y = -lu 1+ x4 dy du

Q: Find the derivative of h(x) tan 3x+cot 3x

A: Solving the problem by finding the derivative of the function.

Q: MacBook Air

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Q: Find the derivative of g(x) = In(sin²(ed/x)).

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Q: Find the value of the derivative of (z – 4i)8 at z = 3 + 4i |

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) =…

A: Recollecting Fundamental theorem of calculus part 1 and interpreting with our given

Q: x) = (5 + 2 sin x)²

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Q: The derivative of In (cos x) is

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Q: find the derivative of (z+j)

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x) = tan(t?)dt

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Q: Use the quotient rule to show that the derivative of csc(x) is − csc(x) cot(x). That is, prove that…

A: Given: h(x)=cosec x  By using the quotient rule we have to show that ddx(cosec x)=-(cosec x).(cotx)

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. h(x) =…

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Q: Use the quotient rule to show that the derivative of cot(x) is − csc2(x). That is, prove that d/dx…

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Q: dy Use implicit differentiation to find the derivative, ,if dx y? – 2x?y + 4x = 5

A: Given Expression: y2-2x2y+4x=5

Q: Find the derivative of function.

A: Given, y=3x2lnx derivative of function dydx dydx=lnx.d(3x2)-3x2d(lnx)lnx2…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) :…

A: Use fundamental theorem of calculus

Q: du (Cin- In 1+x² 2

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Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: 1 f(y) = y² )(y + 5y³) y4,

A: let us simplify function firstf(y)=(1y2-1y4)(y+5y3)=(y2-1y4)(y+5y3)=y3+5y5-y-5y3y4=5y5-y-4y3y4it can…

Q: Use the fact that the derivative of the function g(x)=√x is g"(x)=1/2√x to find the equation of the…

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Q: 150. dx), V9 – y²dy 3

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (x) h(2) = | . (cos…

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Q: Find the derivative of r = In (cos" x).

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Q: · f(x) = sin(In r²) %3D

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Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: Find the derivative of ?(?) = 6 sec2(7x? − 3).

A: Follow the procedure given below.

Q: Find the derivative of h(x) = In 25

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

A: Since the expression contains x, we have to find derivative with respect to x.

Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x). Simplify your answer. COs 1…

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Q: Use implicit differentiation to find the derivative, y', for the following. xcosy = 7x2 - 5y

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Q: Apply the Fundamental Theorem of Calculus to obtain the following derivative. sin(x) dx

A: The Fundamental Theorem of Calculus says: ∫abf(x)dx=F(b)-F(a) where, F is an antiderivative of the…

Q: Use the Fundamental Theorem of Calculus to find the derivative of h(x)= (from -4 to sin of…

A: This is a calculus problem

Q: What is the derivative of V sech ( In(3x))

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Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = 3x2cosx +…

A: Given function is  We know that according to product rule of differentiation, we have (uv)'=uv'+vu'

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(r) = Vx²…

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Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: Give three different notations for the derivative of ƒ with respectto x

A: Definition used -     Derivative of a function -       It is the rate at which the y value of…

Q: Use the Fundamental Theorem of Calculus to find the derivative. dt

A: We have to find the derivative by fundamental theorem of calculus.

Q: Find the derivative of y with respect to the independent variable. y%3D(In 60)

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Q: f(x) = (x + 6 sin x) (1 – 5 cos x -

A: To find the derivative of:f(x)=x+6sinx1-5cosx

Q: „sin x d dx. V1 – 1²dt 154.

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Q: Find the derivative of: 8 sin? ( – 9x*). - Hint: sin? (x) = [sin(x)]*..s ..so use the chain rule…

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Q: Use the theorems on derivatives to find the derivative of the following function:   y = (cos(x))2 +…

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Q: Derive the formula for the derivative with respect to x of a. sec x.      b. csc x.           c. cot…

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Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

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Q: Use a computer algebra system to find the derivative of the function.

A: Given

Q: Please solve and simplify

A: Simplify the given function as follows.

Q: Shows the derivative function of: 2u² + 5u, where u = x² + 3x

A: Given:     To determine: derivative of the given function.

Q: st -xp- 4–lu 1 +x4 y =

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Q: Use the Fundamental Theorem of Calculus to find the derivative. g'(x). of the unction

A: Use simple method of funda mental theorem