Calculate r' (t) and T(t), where 88.8 r' (t) = ( T(t) = ( r(t) = (3t6,2 - 3t, 2t - 9).

Q: Find f'(a). f)t( 1 t² +4

A:

Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

A:

Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: "(x). "'(x). "(-9) and f"(7). = f(x) = x³ 3x² +7 mine whether the function f(x) is concave up or…

A: Topic:- derivatives and application of derivatives     Definition:- When the second derivative is…

Q: Differentiate the function. h(t) = √t-8e* h'(t)

A:

Q: 6. 2х — 7 H(x) .2 х? + 3,

A: We will use Chain rule and Division rule of derivative

Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: Let f(x) = -V5. Find f'(x).

A:

Q: Find y' and y "   y =x2In(2x).

A: Given: y= x2ln2xDifferentiation Formula:ddxlnx=1xddxxn=nxn-1ddxuv=uv'+vu'

Q: Find f'(a). f(x) = V1 – 2x %3D |

A:

Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: Find f ′(a) f(t) = t^5 - 3t

A:

Q: Find fif f'(x) 12x3 + 6x + 7 and f(1) = 2. Answer: f(x)=

A:

Q: Solve: x⋅dx/dy​−y = x2sin(x)

A:

Q: Find h(t) if h"(t)=t^(3/2), h'(4)=2 and h(0) = 3.

A:

Q: here w

A: Here we have,  z(w)=w23w+cewz(w)=w23+1+cw23ewz(w)=w53+cw23ew differentiate with respect to w

Q: For the function f(x) = 4x* – 3x - 4x2 +9, find f'"(x). Then find f"(0) and f"(9). ... f"(x) =

A:

Q: Find f. f"(x) = -2 + 36x – 12x², (0) = 8, f'(0) = 18 "(x) =

A:

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by S(t) =…

A: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by…