If f(x) = S" (t³ + 2t? + 7) dt then f"(x) =

Q: If f(x) = f'(x) = 1 x³ 3 √t² + 1 dt then F

A: Here we will use the Leibniz theorem to  find the derivative of the given problem, so on using this…

Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: If ƒ(t) = (t² + 6t + 7) (7t² + 2), find f'(t). Find f'(2).

A:

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

A:

Q: 3) Let f(x)= 2x+3 . Calculate by definition f'(2).

A:

Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

A:

Q: If f(t) = (t + 7t + 3) (5t? + 4), find f'(t). %3D Find f'(1).

A:

Q: Find f'(a). 1 f(t) t2 + 5

A:

Q: If f(t) = 4t4 – 2t + 4e*, find f'(t).

A: Given function is ft=4t4-2t+4et

Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

A:

Q: goo3D 4X Sxt7

A:

Q: f'(t) = 6t2 + 2t - 4

A: Given: f't=6t2+2t-4 for finding solution of given differential equation, we use variable separable…

Q: Find f. f '(t) =  16 1 + t2     f(1) = 0

A:

Q: Find f '(a). f(t) = 8t+18/t+7

A:

Q: Find f '(a). 8t + 18 f(t) t + 3

A: The function is given as ft=8t+18t+3 Differentiate the above function w.r.t 't' f't=ddt8t+18t+3

Q: F(x) = Vt² + 11 dt

A: F(x)=∫5xt2+11 dt

Q: 2x 1 Let f be the function defined by f (x) = | dt. Find an expression (2t – 5)6 - for f'(x).

A:

Q: If f(t) = (t + 4t + 2) (7t² + 4), find f'(t). Find f'(5).

A:

Q: Find f. f(x) = f'(x) = √(3 + 10x), f(1) = 11

A: Given: f'(x)=x(3+10x)f(1)=11 We are required to find: f(x)

Q: Find the derivative 9x 4e 3x+2

A:

Q: Find f '(a). 5t + 9 f(t) : t + 8

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.