(b) By differentiating curve y 1 2² +1 y with respect to x, find an equation of the tangent to the at A1,; (a) Find the following indefinite integrals. (i) f(x² - 7x + 2)dx (ii) cos(2x)dr (iii) Setz dx

Q: Find dy/dx by implicit differentiation   Cos(xy)  = 1  +Sin y

A: Differentiate both sides with respect to x. Using product rule and chain rule.

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: df Use derivative rules to compute where f(x) = -2xe". dx x%3DIn 7

A:

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x2 dx Jcos(x)

A: Given that,

Q: tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that…

A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: Use differentiation rules to find y' = dy/dx.

A: Rearrange y to get y in fractional form.

Q: Find the derivative of r = In (cos" x).

A:

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

A:

Q: x2 1)Calculate the derivative using FTC(1): g(x) = ʃ  (t5 − 9t3 )dt…

A: 1) to find the derivative of the integral using FTC(1)