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:

{:[g(x)=x^(5)],[g^(')(x)=]:}

g(x)=x5g′(x)= \begin{array}{l}g(x)=x^{5} \\ g^{\prime}(x)=\end{array}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find derivatives of sine and cosine functionsright chevron icon

Full solution

Q. g(x)=x5g′(x)= \begin{array}{l}g(x)=x^{5} \\ g^{\prime}(x)=\end{array}
  1. Identify Function: Identify the function to differentiate.\newlineWe are given the function g(x)=x5g(x) = x^5 and we need to find its derivative, denoted as g′(x)g'(x).
  2. Apply Power Rule: Apply the power rule for differentiation. The power rule states that the derivative of xnx^n with respect to xx is n∗x(n−1)n*x^{(n-1)}. In this case, n=5n=5.
  3. Differentiate Function: Differentiate the function using the power rule. g′(x)=ddx(x5)=5⋅x5−1=5⋅x4g'(x) = \frac{d}{dx}(x^5) = 5\cdot x^{5-1} = 5\cdot x^4

More problems from Find derivatives of sine and cosine functions

Question
Find lim⁡θ→π2tan⁡2(θ)[1−sin⁡(θ)] \lim_{\theta \rightarrow \frac{\pi}{2}} \tan ^{2}(\theta)[1-\sin (\theta)] .\newlineChoose 11 answer:\newline(A) 00\newline(B) 12 \frac{1}{2} \newline(C) −2-2\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡θ→π2sin⁡2(2θ)1−sin⁡2(θ) \lim _{\theta \rightarrow \frac{\pi}{2}} \frac{\sin ^{2}(2 \theta)}{1-\sin ^{2}(\theta)} \newlineChoose 11 answer:\newline(A) 11\newline(B) 22\newline(C) 44\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→3x−34x+4−4 \lim _{x \rightarrow 3} \frac{x-3}{\sqrt{4 x+4}-4} .\newlineChoose 11 answer:\newline(A) −4-4\newline(B) 11\newline(C) 22\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→−47x+28x2+x−12 \lim _{x \rightarrow-4} \frac{7 x+28}{x^{2}+x-12} .\newlineChoose 11 answer:\newline(A) 11\newline(B) 77\newline(C) −1-1\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→−3x+34−2x+22 \lim _{x \rightarrow-3} \frac{x+3}{4-\sqrt{2 x+22}} .\newlineChoose 11 answer:\newline(A) −3-3\newline(B) −4-4\newline(C) −34 -\frac{3}{4} \newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→15x+4−3x−1 \lim _{x \rightarrow 1} \frac{\sqrt{5 x+4}-3}{x-1} .\newlineChoose 11 answer:\newline(A) 35 \frac{3}{5} \newline(B) 56 \frac{5}{6} \newline(C) 11\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→−2x3+3x2+2xx+2 \lim _{x \rightarrow-2} \frac{x^{3}+3 x^{2}+2 x}{x+2} .\newlineChoose 11 answer:\newline(A) 66\newline(B) 00\newline(C) 22\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→π2cot⁡2(x)1−sin⁡(x) \lim _{x \rightarrow \frac{\pi}{2}} \frac{\cot ^{2}(x)}{1-\sin (x)} \newlineChoose 11 answer:\newline(A) −1-1\newline(B) −π2 -\frac{\pi}{2} \newline(C) 22\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡x→π2sin⁡(2x)cos⁡(x) \lim _{x \rightarrow \frac{\pi}{2}} \frac{\sin (2 x)}{\cos (x)} .\newlineChoose 11 answer:\newline(A) 12 \frac{1}{2} \newline(B) 11\newline(C) 22\newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

Question
Find lim⁡θ→π4cos⁡(2θ)2cos⁡(θ)−1 \lim _{\theta \rightarrow \frac{\pi}{4}} \frac{\cos (2 \theta)}{\sqrt{2} \cos (\theta)-1} .\newlineChoose 11 answer:\newline(A) 22\newline(B) 12 \frac{1}{2} \newline(C) 2 \sqrt{2} \newline(D) The limit doesn't exist
Get tutor helpright-arrow

Posted 9 months ago

View all (35)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant