Find the first and second derivatives of the function. g(t) = t²(6t + 3)* %3D

Q: Part A,B,C

A: 2.(a) Given:

Q: Find the derivative of the function. e9u y = e9u + e - 36 (" +e")2(e2u – 1 +2–2u)²(6eu – 1 + 6–6«)²…

A:

Q: (A) Find the derivative of t3 – 1 %3D t3 +1°

A:

Q: (a) Find y' by solving the equation for y and d (b) Find y' by implicit differentiation. (c) Check…

A: Since we are given with multiple number of questions and our guideline is solve the problem and…

Q: Find the derivative of the function. g(u) =√u+1(1 − 5u2)7

A: Write g(u) using exponent

Q: Find the derivatives of the functions ƒ(t) = t2 - 1/t2 + t - 2

A: We write f(t) using exponents first, then find the derivatives using the power rule.

Q: Find the third derivative of the given function g(t) = Square Root of 5t+3

A:

Q: 13. Find the derivative of y = ef 2e D.y'= A. y' B. y' = - C.y: cy-

A: The function is y=e2x

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: Calculate the first four derivatives of y = x- 1. Then find the pattern and determine a general…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find the first and second derivatives of the function. g(t) = t2(6t + 5)4

A:

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

A:

Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: Q. No. 5. Find the Derivative of the Given functions a) y = e"in: +2x b) f(x) = a+x

A: I have used the multiplication and division rule for derivative

Q: Given y = (ax? + bx )e -bx where a and b are constants. Find derivative of y with respect to x. e-bx…

A:

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

A:

Q: (b) Calculate the derivatives of the following functions. (i) y = e5x (ii) y = etan 3x (iii) y =…

A: derivative

Q: Calculate the Implicit Second Derivative for the function shown  1) b(z)=(z-5)^2 2) Find the value…

A: The function is given by bz = z-52 To evaluate: 1) The second derivative b''z          2) The value…

Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

A:

Q: Find the derivative of the function. 8. u3. =D3 g(u) u + 3

A: Topic:- application of derivatives

Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

A:

Q: Q3/ B) Find the derivative of the following functions. 1. ay=(x-y*+1 2. y=e*

A:

Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

A:

Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

A:

Q: Find the first and second derivatives of the given function. f(x) = e *(3 + 3x)? Calculate f'(x).…

A: The given function is fx=ex3+3x2

Q: Find the derivative of the function g(t) = log2(t2 + 7)3

A: The given function is: g(t)=log2(t2+7)3 To find the derivative of this function, use the chain rule…

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: 1. The derivative of the function I (x) which is given by f )=-2x+3 atx4is A. 59 B. 48 C. 46 D. 10 E…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of the function. y = (e9u − e−9u)/(e9u − e−9u)

A:

Q: Find the first and second derivatives of the function. L(t) = 1+2.le 16 3.9t

A:

Q: Q1) Find the first derivative of the following equations: y = x'V

A:

Q: Find the second derivative of the function. (e) = ?e-6t

A:

Q: Find the derivatives of the functions y = (1 - t) (1 + t2)-1

A:

Q: Find the derivative of the function. g(t) = 1/(√t2 − 2)

A: The given function is ,gt=1t2-2. To find the derivative of the given function. Solution: The…

Q: d all the higher order derivatives of f(x) = p³ + ga³ + x + 1. ,5

A: Differentiate wrt x

Q: (A) Find the derivative of t2 – 1 y = t2 +1

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 25. Find the derivative of the function. y = (1+ 3x)e - 3x O A. - 9e - 3x 3x В. - 3(1 + 3х)е - 3x -…

A:

Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

A:

Q: Find the first and second derivatives of the function. g(t) = t2(3t + 8)4

A:

Q: (c)Find the derivatives of the following functions (i) y = 2v (ii) y = log1o(5x' + 3x² – 5x) (iii)…

A:

Q: Find the first and second derivatives of the given function. f(x) = e ×(1 + 4x)2 Calculate f'(x).…

A: Given: fx=ex1+4x2

Q: 6. Find the second derivative of the function. f(P) = v1– 2P7 eC-2P

A: Some derivative formulas: ddx(fg)=fg'+gf'ddxfg=gf'-g'fg2ddx(a)=0ddx(xn)=nxn-1

Q: Find all the higher derivatives of the function f(x) = (3x+7)°. TATER P'(x) = P'(x) =] p"(x)=

A:

Q: 4. Find the derivatives of the following functions. a. y= 2x b. y = x³ C. y= 4x -7

A: a. y=2x Differentiating both side with respect to x dydx=2b.y=x3Differentiating both side with…

Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

A: