Find the derivative of the function. s2 + 1 s2 + 8 S' f(s) = f'(s) =

Q: 3. Determine the derivative of y=7 with respect to x. Enter your next step here dy dx ab +- JT 00 ()

A: Given y=7

Q: find the first derivative of the function: F(x)= (1+t^2)^-3 (t-1/square root t)^4

A: From the given problem:   ft=1+t2-3t-1t4   From the product rule:   f·g'=f'·g+f·g'   So,…

Q: Find the derivative of the function. h(s)= -2√3s² + 2 h'(s) =

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Q: Calculate the derivative of the function. s(x) =(8x + 4/9x-1)^2 s'(x) =

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Q: f(s) = (s° + 1)e-s5 Find the derivative of the function. (Factor your a f'(s) = %3D

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Q: 1.)  r= (3cot42θ-4)2/3

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Q: 1. ne derivative of f(x)= S (x) %3D Jx+5 S0 howemod ngieeAdeW wheban

A: We have to find the derivative of 1/sqrt(x+5) by using the limit definition of derivative

Q: 5x Find the equation of the tangent line of the function eb-y at the point (2, 10). (y – 5) = 5(x –…

A: WE HAVE TO FIND THE EQUATION OF THE TANGENT LINE OF GIVEN FUNCTION AT (2,10)

Q: 8 Find the derivative of the function: 1) g(x) = V1+ t² dt 2) g(x) = d 3x 1 1+4 3) g(y) = , tsin2tdt

A: Apply lebneitz integral rule

Q: H.W.1: Determine the fourth derivative of V(x) =x3-x2+x-1

A: Topic = Derivative As per guidelines, At  a time only one question can be answered out of different…

Q: Find the derivative of the function y = xe2 %3| Select the correct answer below: O e2r (2a + 1) O…

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Q: Find the derivative of the function. 11 y=x¹¹ ex y'=0 V

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Q: Find the derivative of the function. s2 + 1 s² + 4 f(s) =

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Q: Find the derivative of the function.

A: Given function - g(s) = 6s3-23g(s) = 6s3-2-3Differentiating on both sides with respect to 's' -…

Q: Q/ Find the derivative of R(z) = → 1 8z4

A: Given function is  Rz=6z3+18z4-1z25Rz=6z32+18z4-1z25Rz=6z-32+z-48-z-25

Q: Find the derivative of the function. 5 s(x) s'(x) =

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Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Q /Choose the appropriate derivative for this function y = (x + 1)²¯*

A: Given equation:y = (x+1)2-x required:1) dydxSol:y = (x+1)2-x →taking logarithms on both sides we…

Q: Find the derivative of the function. S(2) = VE - 8E f (x) =

A: topic - derivative of a function

Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

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Q: 5. dy for the function y dz The derivative 5

A: Given, Y = ( X/5 + 5/X)5 Formula used: d[f(u(X)] / dx = f'(X). d u / dx

Q: dy Part II: Find the derivative ) implicitly. Show all work. dx 11. e" – 4x³ + 5y? = 10

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Q: Find the derivative of the function.

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Q: 3(34 to Y= ! 2% e dy

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Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) Need lel

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Q: Find the derivative of the function.

A: the given function is: hs=s5+2s+6s13 we have to find the derivative of the given function.

Q: Find the derivative of the given functions: 2. f(x) = rcos(rx) – 6 sec(x) + 3

A: Given that, f(x)=rcos(rx)-6secx+3When r=4we have,f(x)=4cos(4x)-6secx+3

Q: Find the derivative of the given function.   f(z)=−1/z^5.9

A: Write f(z) using exponent.

Q: Find the derivative of the given function at a given number 1. y=3x - 2 at f'(1) 2. y=x² -1 at f'(2)…

A: Find the derivatives at points. 1. y=3x2-2 for f'1. Apply derivative law: u±v' =u'±v'.…

Q: Find the derivative of the function. 2 f(x) = 3F + 3cos x V X

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Q: Find the derivative y = x + Vx + Vã 01+ + Ol+ + 1 1 + 쑤 None of these 3.

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Q: C) Find the derivative of y= (1+ x²)*

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Q: /x + Vy = 4 find the first derivative %3D

A: We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1   Given: x+y=4

Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: Find the derivative of the function. f(s) = s3(s2 − 1)9/2

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Q: Find the derivative of the function. 8. g(s) = 9s2 - 8 Vs g'(s) =

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Q: Find the derivative of the given function.   f(z)=−1/z^4.1

A: Recall the rule for differentiating powers when the exponent is a positive integer

Q: Find the derivative of the function. 1 s(t) 2+ 6t - 5 s'(t) =

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Q: Find the derivative of the function. h(s) = -2/ 9s² + 2 %3D h'(s) = %3D

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Q: f(x, y) = 7x²y+ e2=Y sin(y), P= (3,0) Direction of fastest increase is Direction of fastest decrease…

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Q: Find the derivative of the algebraic function.

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Q: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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Q: d the derivative of g (x) = Jo cos (t²) dt. COS

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Q: Find the derivative of the function.

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Q: f(x, y) = x²y+ e®r" sin(y), P= (2,0) Direction of fastest increase is Direction of fastest decrease…

A: Given Data: Function: f(x, y)=x2y+e6xysin(y) Point: P=(2, 0) The derivative of the function with…

Q: 3x2 dx Jcos(x) # L sin(t) dt. Find the derivative of F(x) %3D

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Q: rcos(z) d (32) Find the derivative: dx V1- t?dt 1

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Q: (6 pts.) Find the derivative of the given function a F(x) = dt 0 14 b g(x) = [| dt

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Q: 6. Q/ Find the derivative of R(z) = 1 8z4

A: Given equation :

Q: Find the derivative of the function. h(x) = ex + 5

A: First we will differentiate exponential part then we eill differentiate algebraic part