y = tan 7x

Q: Find derivative of the following function. 5x -5x y%3D dy

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Q: Write down the limit definition of the derivative f'(x) and USE IT to find d/dx(1/x)

A: Write down the limit definition of the derivative f'(x) and USE IT to find d/dx(1/x)

Q: Find the derivative of ywith respect to x in the following functions: 18x y (ans.: (3x-2 a) y= and…

A: Derivative of uv uv' = u'v-v'uv2

Q: Find the third derivatives of the function f (x) = e sin (2x)

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Q: Find the derivative of the function

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Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: y=ex2+1 sinx3

Q: Use the definition of the derivative to find f'(x). Then find the equation of the tangent line at x…

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Q: The derivative of the function y = sin-1(e* – In x), where Je – In x| < 1, is:

A: Recall ddx(sin-1(x))=11-x2 ddx(ex)=ex ddx(ln(x))=1x

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y = (x +…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of the function.

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Q: Find the derivatives of the function defined as follows. y = sin e10x

A: Use the chain rule of derivation to find the derivative of y=sin(e10x). Find the derivative of sin…

Q: Find the derivatives of the functions in Exercise . y = (1 + x2) e^tan-1 x

A: Given,          y=(1+x2) etan-1x

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: The derivative of the function y = tan-1 Vx2 – 1 + csc¬1 x, where x > 1 is: |

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Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Find the derivative. y = In /x+7 y' = D

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Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: Find the second derivative, for y = tan () dy2

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

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Q: Find the derivatives of the functions in Exercise y = t tan-1 t - 1/2 ln t

A: To find: The derivative of y=t·tan-1t-12ln t Concept used: Product rule of derivative: uv'=u·v'+v·u'…

Q: Find the derivative of f(h(x))?  What is the slope of the tan line at x=0.  f'(x)=(3x^2)+3 h(x)=2x+1

A: Given function

Q: Find the derivative of the function.

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Q: f(x) = sec(x2 – 1) + tan(x2 – 1)] e(æ+æ)

A: Given function - f(x) = secx2-1+tanx2-1ex2+xDifferentiating on both sides with respect to x -f'(x) =…

Q: Find the derivatives of the function defined as follows.

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Q: Find the derivative of the function. y = cos(a + x*) У (x) %3

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Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

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Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

Q: Find the derivative of f(t) = (In 6)*. f'(t)

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Q: y = (cos(x²))*

A: We can find the derivative of the given function by using the logarithmic differentiation. Also,…

Q: Find the second order derivatives of the following functions f(x) 3x - x' i) Tan 1-3x

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Q: Let f(x) = 8x +x – 7. Find the derivative of f by using the formula %3D and check your result by…

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Q: Let y = (x + sin(x))³. Find g(æ) and f(x) so that y = (f o g)(x), and compute the derivative using…

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Q: Find the derivative of the function. y = a° + cos (x) y'(x)

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Q: Use the implicit differentiation to find dy/dx for (e^x)y + tan(xy) - 5 = 0

A: Given that        (ex)y + tan(xy) - 5 = 0

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…

Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the…

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = x2…

A: Solution:-  The given function is  g(x)=x2-xwe have to use alternative form of derivative to find…

Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: Find ☆ f'(x) using using derivative rules. f(x) =Dx+ 2 to 11

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Q: The derivative of the function () y = In is: tan x,

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Q: Q1) Compute the derivative of the function f (t)= | sin² x²dx. -t

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Q: Can you help me step by step?

A: Given function,

Q: For the given composite function, identify the inner function, u = g(x), and the outer function, y =…

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Q: (2x2 -r+1) In(x)+2(cos(z² +3)| f(x) =

A: Quotient rule of differentiation:…

Q: Find the derivative or f'(x) for the following: dx y= x²- 3x + 4 2х-5 (x) = 3x+2

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