Find the first derivative of y = $\mathrm{T}^{7}$ - 9 $\mathrm { T } ^ { 5 }$ + 2 $\mathrm { T } ^ { 4 }$ + 59
A) $\mathrm { T } ^ { 6 }$ - 9 $\mathrm { T } ^ { 4 }$ + 2 $\mathrm { T } ^ { 3 }$
B) $\mathrm { T } ^ { 6 }$ - 9 $\mathrm { T } ^ { 4 }$ + 2 $\mathrm { T } ^ { 3 }$ + 59
C) 7 $\mathrm { T } ^ { 6 }$ - 45 $\mathrm { T } ^ { 4 }$ + 8 $\mathrm { T } ^ { 3 }$ + 59
D) 7 $\mathrm { T } ^ { 6 }$ - 45 $\mathrm { T } ^ { 4 }$ + 8 $\mathrm { T } ^ { 3 }$

Question

Quizplus · Accepted Answer

The first derivative of a polynomial function is found by applying the power rule, which involves multiplying the exponent by the coefficient and then subtracting one from the exponent for each term. The derivative of a constant is zero.

Find the First Derivative of Y = T7\mathrm{T}^{7}T7 - 9 T5\mathrm { T } ^ { 5 }T5

Find the First Derivative of Y = $\mathrm{T}^{7}$ - 9 $\mathrm { T } ^ { 5 }$