if y = (e^x)^7 find dy/dx
To solve the the problem we need to recognize what type of differentiation technique we shall be employing
y = (ex)7
the x unction which we are diferentiating is a power of an exponential function therefore we must employ a substituion method to solve this
if u = ex
therefore y = (u)7
dy/du = 7(u)6
we can say du/dx = ex
therefore dy/dx = dy/du * du/dx
dy/dx = 7(ex)6 * ex
dy/dx = 7(ex)6 * ex
dy/dx = 7(ex)7
GI
Answered by George I. • Further Mathematics tutor
5316 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Find the eigenvalues and eigenvectors of the matrix M , where M{2,2} = (1/2 2/3 ; 1/2 1/3) Hence express M in the form PDP^-1 where D is a diagonal matrix.
What modules have you done before?
Use De Moivre's Theorem to show that if z = cos(q)+isin(q), then (z^n)+(z^-n) = 2cos(nq) and (z^n)-(z^-n)=2isin(nq).
Find the square roots of 2 + isqrt(5)