Question

In: Math

What is the Derivative of f(x)=(4x^7)^5

Find the Derivative of the f(x)

Solutions

Expert Solution

Using the power rule and chain rule for derivatives subtract the exponent by 1 and the contsant to the front of the parentheses then proceed to do the same to the inside of the parentheses using the chain rule so what you derive inside of the parentheses doesnt change. (4x^7)^5=5(4x^7)^5-1=5(4x^7)^4. then do the inside of the parentheses. 5(4x^7)^4 *28x^6=5*28^6(4x^7)=140x^6(4x^7) so the final answer is f'(x)=140x^6(4x^7)

140x^6(4x^7)^4

Brendan Mainprize answered 3 years ago
Next > < Previous

Related Solutions

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7
For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions.f(x) = −x2 + 4x + 7
For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7
For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions.f(x) = −x2 + 4x + 7
What is the derivative of f(x)=2
Find f'(x)
Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...
Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative and linear approximation, estimate f(9.1).
Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?....
Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?. show work
Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=
Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=
Differentiate: do the Derivative for all (a) f(x) = x ^3 − 5e + x ^5/3...
Differentiate: do the Derivative for all (a) f(x) = x ^3 − 5e + x ^5/3 (b) g(x) = x ^2+e^ x / √ x+1 (c) h(x) = 2^sec(x) (d) j(x) = cos(sin(xe^x )) (e) f(x) = 2^x sin−1 (x^3 ) (f) g(x) = x ^sec(x) (g) f(x) = tan−1 ( √ 2x + 1) (h) h(x) = e^x log3 (x^2 − 1) (i) g(x) = (cot(x) + 4/ x )(ln(x) − 2e^ x ) (j) j(x) = log2 (sin(xe^x...
Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...
Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x + 1)(x + 5). Determine the intervals of x for which the function of f is increasing and decreasing Explain why a positive value for f" (x) means the graph f(x) is increasing For f(x) = 2x2- − 3x2 − 12x + 21, find where f'(x) = 0, and the intervals on which the function increases and decreases Determine the values of a, b, and...
Compute the derivative of each function a.) f(x)= x5/2 - 3x2/3 b.) f(x) = 3x- log7x+7...
Compute the derivative of each function a.) f(x)= x5/2 - 3x2/3 b.) f(x) = 3x- log7x+7 c.) f(x)= 8x6-5x3+3x2-11x+7
Using extended euclidean algorithm find f(x) and g(x) in: f(x)(x^5 + 4x^4 + 6x^3 + x^2...
Using extended euclidean algorithm find f(x) and g(x) in: f(x)(x^5 + 4x^4 + 6x^3 + x^2 + 4x + 6) + g(x)(x^5 + 5x^4 + 10x^3 + x^2 + 5x + 10) = x^3+1
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT