Use the differentiation rules to find the derivative. f(x) = – 17 f' (x) = Preview syn Enter an algebraic expression [more..]

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Use implicit differentiation to determine the derivative of: tan² (xy² + y) = 2x.

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Q: fla)=-sinx (): In, Cosx

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: The rate of change of y value with respect to the change in x value is known as the derivative of…

Q: Find the derivative of the following function using appropriate rules of differentiation. y = Vx csc…

A: Use  product rule of derivatives. d (u.v)/dx = v.(du/dx)+u.(dv/dx)

Q: Find fi( using the derivative rules tanx y2-3

A: Given, the function is                         We have to find the derivative of this function i.e.…

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Find the derivative of f(x) = (Cosx)*

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Q: Find the derivative of f(x) = tan(sin(2x))

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Q: find the derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

A: Given that, y=(x3+cosx)-4

Q: アミx2 (-2x) ソ=x

A: topic - derivative

Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Find the derivative using the appropriate rule or combination of rules. y = tan3 x + tan(x3)

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Q: find the derivative using the appropriate rule or combination of rules. y = tan3 x + tan(x3)

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Use the rules of differentiation to find the derivative of the function. y = - cos(0) 8 y' =

A:

Q: FInd the derivative using implicit differentiation rules x2+y2=x+y

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Q: Use implicit differentiation to find the derivative of arctan(x).

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Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Find the derivative with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

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Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

Q: Find the derivative of the cosecant function y=cscx.

A: Given: y=cosecx we know that cosecθ=1sinθ similarly, y=cosecx=1sinx

Q: Use the rules of differentiation to find the derivative of the function. y = -10 y' = %3D

A:

Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: sinx (b) у %3D V1+cosx

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Q: Find the derivative of y with respect to x using implicit differentiation in the equation *'y =…

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Q: Compute the derivative using derivative rules. y = cos(te- 2t)

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Q: Find the derivative of the function. y = In(x?)

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Q: y=x²

A: I have stated the used formula in the solution

Q: Find the derivative of the function.

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Q: Find the second derivative using implicit differentiation of x2+8y2=8

A: Given:

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: (a) h(x) = tan(r'sinx

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x4/cos x

A: Given function: y=x4cosx Recall Product Rule ddxmn=mddxn+nddxm…

Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Find the derivative of ry = -3+x*y° using implicit differentiation.

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Compute the derivative with respect to x using differentiation rules.  f(x) = (ex / 3 - x)8

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Q: Find the derivative of f(x) = x cos x using the product rule.

A: The given function is fx=xcosx.

Q: Find the derivative and simply. 1+cosx (a) f(x) = 1-cosx

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…

Q: Calculate the derivative of y=tanx using the quotient rule.

A: Given that, y=tanxy=sinxcosx        Using tanx=sinxcosx

Q: Find the derivative car (x+y) = yrinx

A:

Q: 2. f(x) sinx-1 %3D cosx

A: 2-Given- fx=sinx-1cosx To Find- The derivative of the above expression. Identity Used- Using the…

Q: Find the derivative of the function by using the rules of differentiation. f(x) = 0.006x³ – 0.02x² +…

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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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: