Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

{:[f^(')(x)=(81)/(x^(4))" and "f(-1)=18.],[f(3)=]:}

f′(x)=81x4 and f(−1)=18.f(3)= \begin{array}{l}f^{\prime}(x)=\frac{81}{x^{4}} \text { and } f(-1)=18 . \\ f(3)=\end{array}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find higher derivatives of rational and radical functionsright chevron icon

Full solution

Q. f′(x)=81x4 and f(−1)=18.f(3)= \begin{array}{l}f^{\prime}(x)=\frac{81}{x^{4}} \text { and } f(-1)=18 . \\ f(3)=\end{array}
  1. Calculate rolls needed: Calculate the number of rolls needed by dividing the total amount of tape by the amount of tape on each roll. 8,000 cm÷2,000 cm/roll=4 rolls8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}

More problems from Find higher derivatives of rational and radical functions

Question
h(x)=(5−6x)5h′(x)=? \begin{aligned} h(x) & =(5-6 x)^{5} \\ h^{\prime}(x) & =? \end{aligned} \newlineChoose 11 answer:\newline(A) −6x5+5x4(5−6x) -6 x^{5}+5 x^{4}(5-6 x) \newline(B) −30(5−6x)4 -30(5-6 x)^{4} \newline(C) (−6)5 (-6)^{5} \newline(D) 5(5−6x)4 5(5-6 x)^{4}
Get tutor helpright-arrow

Posted 3 months ago

Question
Find d2dx2[2sin⁡(−4x−3)] \frac{d^{2}}{d x^{2}}[2 \sin (-4 x-3)] .
Get tutor helpright-arrow

Posted 3 months ago

Question
f(x)=x11f′(x)= \begin{array}{l}f(x)=x^{11} \\ f^{\prime}(x)=\end{array}
Get tutor helpright-arrow

Posted 3 months ago

Question
f′(x)=5ex and f(7)=40+5e7.f(0)=□ \begin{array}{l}f^{\prime}(x)=5 e^{x} \text { and } f(7)=40+5 e^{7} . \\ f(0)=\square\end{array}
Get tutor helpright-arrow

Posted 3 months ago

Question
f′(x)=12x2−6x+2 and f(−1)=3.f(2)= \begin{array}{l}f^{\prime}(x)=12 x^{2}-6 x+2 \text { and } f(-1)=3 . \\ f(2)=\end{array}
Get tutor helpright-arrow

Posted 3 months ago

Question
f′(x)=−27ex and f(6)=36−27e6.f(0)=□ \begin{array}{l}f^{\prime}(x)=-27 e^{x} \text { and } f(6)=36-27 e^{6} . \\ f(0)=\square\end{array}
Get tutor helpright-arrow

Posted 3 months ago

Question
f′(x)=−5ex and f(3)=22−5e3.f(0)=□ \begin{array}{l}f^{\prime}(x)=-5 e^{x} \text { and } f(3)=22-5 e^{3} . \\ f(0)=\square\end{array}
Get tutor helpright-arrow

Posted 3 months ago

Question
Complete the recursive formula of the arithmetic sequence {:[−15,−11,−7,−3,… ],[c(1)=□],[c(n)=c(n−1)+□]:} \{:[-15, -11, -7, -3, \dots], [c(1)=\square], [c(n)=c(n-1)+\square]:\}
Get tutor helpright-arrow

Posted 2 months ago

Question
{f(x)=2x4+x3−11x2+11x−3, 2,32\begin{cases} f(x)=2x^{4}+x^{3}-11x^{2}+11x-3, \ 2, \frac{3}{2} \end{cases}
Get tutor helpright-arrow

Posted 2 months ago

Question
T(x)=ex2+8xx4+7,T′(x)=T(x) = \frac{e^{x^2 + 8x}}{\sqrt{x^4 + 7}},\quad T'(x) =
Get tutor helpright-arrow

Posted 2 months ago

View all (25)