Find f '(a). 5t + 11 f(t) t + 8 Step 1 To find f '(a), we will use the formula = lim t) – f(a) f '(a) 5t + 11 Since f(t) we have t + 8 5t + 11 5a + 11 f '(a) lim t + 8 a + 8 %D Putting the fractions in the numerator over a common denominator and simplifying, we have || (5t + 11) (5a + 11)(t + 8) 5t + 11 5a + 11 t + 8 a + 8 (t + 8)(a + 8) 5ta + 11a + 40t + 88 – 5at (t + 8)(a + 8) - 11t – 40a – 88 )e-( la (t + 8)(a + 8)

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

A:

Q: Are the functions below power functions? If it is a power function, write it in the form y=kx^p and…

A: Given,          The function is in the form of y=kxp.

Q: a) lim 2+1 - 2x - 5 (2x - 1)³

A: Topic:- calculus

Q: Sin Q5: Find lim,¬6 x-3

A: Given:         limx→6sinπxx−3

Q: f(x) If f(x) = 3x? + 4x +1 and g(x) = x² - 2x - 3, then what is lim *19(x)

A:

Q: (x+2)2 - 4(x+5) limx x- 4

A: Given,             limx→4x+22-4x+5x-4

Q: Consider the function f(x)=ln⁡(x2+3x−10) Find the domain of the function f(x) and enter your domain…

A:

Q: 6. Differentiate. (Do the first step only, do not simplify) f(x) = (2x* - x³)²√3x + 1

A:

Q: 7) lim (-2x3 + 3x-1) X=00

A: We have to find limx→−∞​(−2x3+3x−1).By applying Infinity Property that…