Algebra
Calculus
Trigonometry
Matrix
Question
Function
Evaluate the derivative
Find the domain
Find the f-intercept/zero
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g′=96f5
Evaluate
g=f6×4×4
Simplify
More Steps
Evaluate
f6×4×4
Multiply the terms
f6×16
Use the commutative property to reorder the terms
16f6
g=16f6
Take the derivative of both sides
g′=dfd(16f6)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
g′=16×dfd(f6)
Use dxdxn=nxn−1 to find derivative
g′=16×6f5
Solution
g′=96f5
Show Solution
Solve the equation
Solve for f
Solve for g
f=264gf=−264g
Evaluate
g=f6×4×4
Simplify
More Steps
Evaluate
f6×4×4
Multiply the terms
f6×16
Use the commutative property to reorder the terms
16f6
g=16f6
Swap the sides of the equation
16f6=g
Divide both sides
1616f6=16g
Divide the numbers
f6=16g
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±616g
Simplify the expression
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Evaluate
616g
To take a root of a fraction,take the root of the numerator and denominator separately
6166g
Simplify the radical expression
346g
Multiply by the Conjugate
34×3426g×342
Calculate
226g×342
Calculate
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Evaluate
6g×342
Use na=mnam to expand the expression
6g×644
The product of roots with the same index is equal to the root of the product
6g×44
Calculate the product
644g
Rewrite the exponent as a sum
626+2g
Use am+n=am×an to expand the expression
626×22g
The root of a product is equal to the product of the roots of each factor
626×622g
Reduce the index of the radical and exponent with 6
264g
22264g
Reduce the fraction
More Steps
Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
264g
f=±264g
Solution
f=264gf=−264g
Show Solution
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